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ODIOUS NUMBER

  • Odious number
  • Number with odd number of 1s in binary

    number theory, an odious number is a positive integer that has an odd number of 1s in its binary expansion. Non-negative integers that are not odious

    Odious number

    Odious_number

  • 69 (number)
  • Natural number

    69 is also a pernicious number because there is a prime number of 1s when it is written as a binary number, and an odious number, as it is a positive integer

    69 (number)

    69_(number)

  • 173 (number)
  • Natural number

    seventy-three) is the natural number following 172 and preceding 174. 173 is: an odd number. a deficient number. an odious number. a balanced prime. an Eisenstein

    173 (number)

    173_(number)

  • 140 (number)
  • Natural number

    integers, which makes it a square pyramidal number. 140 is an odious number because it has an odd number of ones in its binary representation. The sum

    140 (number)

    140_(number)

  • 300 (number)
  • Natural number

    a zero of Mertens function and number of inequivalent octagons. 333 = 32 × 37. It is a harshad number, an odious number, and a zero of Mertens function

    300 (number)

    300_(number)

  • Parity (mathematics)
  • Property of being an even or odd number

    number is a number that has an even number of 1's in its binary representation, and an odious number is a number that has an odd number of 1's in its

    Parity (mathematics)

    Parity (mathematics)

    Parity_(mathematics)

  • 176 (number)
  • Natural number

    natural number following 175 and preceding 177. 176 is an even number and an abundant number. It is an odious number, a self number, a semiperfect number, and

    176 (number)

    176_(number)

  • 261 (number)
  • Natural number

    unfolded tesseract patterns. 261 is a lucky number, as well as an odious number, meaning it has an odd number of 1's in its binary expansion, which is 1000001012

    261 (number)

    261_(number)

  • 182 (number)
  • Natural number

    number, as there is no integer with exactly 182 coprimes below it 182 is an odious number 182 is a pronic number, oblong number or heteromecic number

    182 (number)

    182_(number)

  • Odious debt
  • International law legal theory

    In international law, odious debt, also known as illegitimate debt, is a legal theory that says that the national debt incurred by a despotic regime should

    Odious debt

    Odious_debt

  • Prime number
  • Number divisible only by 1 and itself

    A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that

    Prime number

    Prime number

    Prime_number

  • Natural number
  • Number used for counting

    natural-number results: subtracting a larger natural number from a smaller one results in a negative number and dividing one natural number by another

    Natural number

    Natural number

    Natural_number

  • Fibonacci sequence
  • Numbers obtained by adding the two previous ones

    month, the number of pairs of rabbits is equal to the number of mature pairs (that is, the number of pairs in month n – 2) plus the number of pairs alive

    Fibonacci sequence

    Fibonacci sequence

    Fibonacci_sequence

  • Perfect number
  • Number equal to the sum of its proper divisors

    In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number

    Perfect number

    Perfect number

    Perfect_number

  • 155 (number)
  • Natural number

    the natural number following 154 and preceding 156. 155 is: a composite number a semiprime. a deficient number, since 1+5+31=37<155. odious, since its

    155 (number)

    155_(number)

  • Evil number
  • Class of binary number

    the Thue–Morse set. Non-negative integers that are not evil are called odious numbers. The first evil numbers are 0, 3, 5, 6, 9, 10, 12, 15, 17, 18, 20

    Evil number

    Evil_number

  • Congruent number
  • Area of a right triangle with rational-numbered sides

    In number theory, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. A more general definition

    Congruent number

    Congruent number

    Congruent_number

  • Composite number
  • Integer having a non-trivial divisor

    A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly, it is a positive integer that has

    Composite number

    Composite number

    Composite_number

  • Triangular number
  • Figurate number

    The triangular lattice representing the n {\displaystyle n} th triangular number contains n {\displaystyle n} rows: the first row contains one point, the

    Triangular number

    Triangular number

    Triangular_number

  • Mersenne prime
  • Prime number of the form 2^n – 1

    mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer

    Mersenne prime

    Mersenne_prime

  • Outlast (TV series)
  • American TV reality series

    Reality Blurred says "With no rules Netflix's Outlast spawns brilliant, odious, predictable play... (it's) an average survival show that has shocking but

    Outlast (TV series)

    Outlast_(TV_series)

  • Smooth number
  • Integer having only small prime factors

    In number theory, an n-smooth (or n-friable) number is an integer whose prime factors are all less than or equal to n. For example, a 7-smooth number is

    Smooth number

    Smooth_number

  • Happy number
  • Numbers with a certain property involving recursive summation

    In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance

    Happy number

    Happy number

    Happy_number

  • Square number
  • Product of an integer with itself

    In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with

    Square number

    Square number

    Square_number

  • Fermat number
  • Positive integer of the form (2^(2^n))+1

    In mathematics, a Fermat number, named after Pierre de Fermat (1601–1665), the first known to have studied them, is a positive integer of the form: F n

    Fermat number

    Fermat_number

  • Cyclic number
  • Integer whose multiples are digit rotations

    A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the

    Cyclic number

    Cyclic_number

  • Pell number
  • Number used to approximate the square root of 2

    starts with 0 and 1, and then each Pell number is the sum of twice the previous Pell number, plus the Pell number before that. The first few terms of the

    Pell number

    Pell number

    Pell_number

  • Palindromic number
  • Number that remains the same when its digits are reversed

    A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16361) that remains the same when its digits are

    Palindromic number

    Palindromic_number

  • Automorphic number
  • Number whose square ends in the same digits

    In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b {\displaystyle b} whose

    Automorphic number

    Automorphic_number

  • Super-Poulet number
  • Type of Poulet number

    In number theory, a super-Poulet number is a Poulet number, or pseudoprime to base 2, whose every divisor d {\displaystyle d} divides 2 d − 2 {\displaystyle

    Super-Poulet number

    Super-Poulet_number

  • Highly composite number
  • Numbers with many divisors

    highly composite number is a positive integer that has more divisors than all smaller positive integers. If d(n) denotes the number of divisors of a positive

    Highly composite number

    Highly_composite_number

  • Harshad number
  • Integer divisible by sum of its digits

    In recreational mathematics, a Harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written

    Harshad number

    Harshad_number

  • Friendly number
  • Two or more natural numbers with a common abundancy index

    In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and

    Friendly number

    Friendly_number

  • Squared triangular number
  • Square of a triangular number

    In number theory, the sum of the first n cubes is the square of the nth triangular number. That is, 1 3 + 2 3 + 3 3 + ⋯ + n 3 = ( 1 + 2 + 3 + ⋯ + n ) 2

    Squared triangular number

    Squared triangular number

    Squared_triangular_number

  • Double Mersenne number
  • Number of form 2^(2^p-1)-1 with prime exponent

    In mathematics, a double Mersenne number is a Mersenne number of the form M M p = 2 2 p − 1 − 1 {\displaystyle M_{M_{p}}=2^{2^{p}-1}-1} where p {\displaystyle

    Double Mersenne number

    Double_Mersenne_number

  • Multiply perfect number
  • Number whose divisors add to a multiple of that number

    perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k, a number n is

    Multiply perfect number

    Multiply perfect number

    Multiply_perfect_number

  • Odious Mortem
  • American death metal band

    Odious Mortem is an American death metal band from San Francisco/Santa Cruz, California, United States. The band is currently signed to Willowtip Records

    Odious Mortem

    Odious_Mortem

  • Sierpiński number
  • Odd number with specific properties

    In number theory, a Sierpiński number is an odd natural number k such that k × 2 n + 1 {\displaystyle k\times 2^{n}+1} is composite for all natural numbers

    Sierpiński number

    Sierpiński_number

  • Figurate number
  • Size of a geometric arrangement of points

    The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes

    Figurate number

    Figurate number

    Figurate_number

  • Centered hexagonal number
  • Number that represents a hexagon with a dot in the center

    mathematics and combinatorics, a centered hexagonal number, or centered hexagon number, is a centered figurate number that represents a hexagon with a dot in the

    Centered hexagonal number

    Centered hexagonal number

    Centered_hexagonal_number

  • Kaprekar number
  • Base-dependent property of integers

    In mathematics, a natural number in a given number base is a p {\displaystyle p} -Kaprekar number if the representation of its square in that base can

    Kaprekar number

    Kaprekar_number

  • Carmichael number
  • Composite number in number theory

    In number theory, a Carmichael number is a composite number ⁠ n {\displaystyle n} ⁠ which in modular arithmetic satisfies the congruence relation: b n

    Carmichael number

    Carmichael number

    Carmichael_number

  • Pentagonal number
  • Figurate number

    A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns

    Pentagonal number

    Pentagonal number

    Pentagonal_number

  • Harmonic divisor number
  • Positive integer whose divisors have a harmonic mean that is an integer

    In mathematics, a harmonic divisor number or Ore number is a positive integer whose divisors have a harmonic mean that is an integer. The first few harmonic

    Harmonic divisor number

    Harmonic_divisor_number

  • Polygonal number
  • Type of figurate number

    In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon. These are one type of 2-dimensional figurate

    Polygonal number

    Polygonal_number

  • Semiperfect number
  • Number equal to the sum of all or some of its divisors

    In number theory, a semiperfect number or pseudoperfect number is a natural number n equal to the sum of all or some of its proper divisors. A semiperfect

    Semiperfect number

    Semiperfect number

    Semiperfect_number

  • Thabit number
  • Integer of the form 3 × 2^n – 1 for non-negative n

    In number theory, a Thabit number, Thâbit ibn Qurra number, or 321 number is an integer of the form 3 ⋅ 2 n − 1 {\displaystyle 3\cdot 2^{n}-1} for a non-negative

    Thabit number

    Thabit_number

  • The Fall (2006 film)
  • Adventure fantasy film by Tarsem Singh

    named Wallace, and a masked swashbuckling bandit. The evil ruler Governor Odious has committed an offense against each of the five, and they all seek revenge

    The Fall (2006 film)

    The_Fall_(2006_film)

  • Parasitic number
  • Number that when multiplied by another number moves its last digit to its front

    In mathematics, an n-parasitic number (in base 10) is a positive natural number which, when multiplied by n, results in movement of the last digit of its

    Parasitic number

    Parasitic_number

  • Extravagant number
  • Number that has fewer digits than the number of digits in its prime factorization

    In number theory, an extravagant number (also known as a wasteful number) is a natural number in a given number base that has fewer digits than the number

    Extravagant number

    Extravagant_number

  • Pronic number
  • Number, product of consecutive integers

    A pronic number is a number that is the product of two consecutive integers, that is, a number of the form n ( n + 1 ) {\displaystyle n(n+1)} . The study

    Pronic number

    Pronic_number

  • Telephone number (mathematics)
  • Number of ways to pair up n objects

    These numbers also describe the number of matchings (the Hosoya index) of a complete graph on n vertices, the number of permutations on n elements that

    Telephone number (mathematics)

    Telephone number (mathematics)

    Telephone_number_(mathematics)

  • Catalan number
  • Recursive integer sequence

    they were previously discovered in the 1730s by Minggatu. The n-th Catalan number can be expressed directly in terms of the central binomial coefficients

    Catalan number

    Catalan number

    Catalan_number

  • Narcissistic number
  • Concept in number theory

    In number theory, a narcissistic number (also known as a pluperfect digital invariant (PPDI), an Armstrong number (after Michael F. Armstrong) or a plus

    Narcissistic number

    Narcissistic_number

  • Abundant number
  • Number that is less than the sum of its proper divisors

    In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The

    Abundant number

    Abundant number

    Abundant_number

  • Idoneal number
  • Mathematical concept in prime numbers

    power. In particular, a number that has two distinct representations as a sum of two squares is composite. Every idoneal number generates a set containing

    Idoneal number

    Idoneal_number

  • Lucas number
  • Infinite integer series where the next number is the sum of the two preceding it

    numbers two terms apart in the Fibonacci sequence results in the Lucas number in between. The first few Lucas numbers are 2, 1, 3, 4, 7, 11, 18, 29, 47

    Lucas number

    Lucas number

    Lucas_number

  • Regular number
  • Numbers that evenly divide powers of 60

    and have different names coming from their different areas of study. In number theory, these numbers are called 5-smooth, because they can be characterized

    Regular number

    Regular number

    Regular_number

  • Keith number
  • Type of number introduced by Mike Keith

    mathematics, a Keith number or repfigit number (short for repetitive Fibonacci-like digit) is a natural number n {\displaystyle n} in a given number base b {\displaystyle

    Keith number

    Keith_number

  • Pandigital number
  • Integer whose representation contains every digit in its number base

    In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. For

    Pandigital number

    Pandigital_number

  • Knödel number
  • Composite number with special property

    In number theory, an n-Knödel number for a given positive integer n is a composite number m with the property that each i < m coprime to m satisfies i

    Knödel number

    Knödel_number

  • Semiprime
  • Product of two prime numbers

    In number theory, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other

    Semiprime

    Semiprime

  • Nonagonal number
  • Type of figurate number

    A nonagonal number, or an enneagonal number, is a figurate number that extends the concept of triangular and square numbers to the nonagon (a nine-sided

    Nonagonal number

    Nonagonal_number

  • Lucky number
  • Integer filtered out using a sieve similar to that of Eratosthenes

    In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the sieve of Eratosthenes

    Lucky number

    Lucky_number

  • Practical number
  • Number whose sums of distinct divisors represent all smaller numbers

    In number theory, a practical number or panarithmic number is a positive integer n {\displaystyle n} such that all smaller positive integers can be represented

    Practical number

    Practical number

    Practical_number

  • Power of two
  • Two raised to an integer power

    A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with the number two as the base and integer n as

    Power of two

    Power of two

    Power_of_two

  • Riesel number
  • Odd number with specific properties

    In mathematics, a Riesel number is an odd natural number k for which k × 2 n − 1 {\displaystyle k\times 2^{n}-1} is composite for all natural numbers

    Riesel number

    Riesel_number

  • Ordered Bell number
  • Number of orderings allowing ties

    In number theory and enumerative combinatorics, the ordered Bell numbers or Fubini numbers count the weak orderings on a set of n {\displaystyle n} elements

    Ordered Bell number

    Ordered Bell number

    Ordered_Bell_number

  • Bell number
  • Count of the possible partitions of a set

    2,5,15,52,203,877,4140,\dots } (sequence A000110 in the OEIS). The Bell number B n {\displaystyle B_{n}} counts the different ways to partition a set that

    Bell number

    Bell number

    Bell_number

  • Fortunate number
  • Integer named after Reo Fortune

    (Fortune's conjecture) More unsolved problems in mathematics In number theory, a Fortunate number is the smallest integer m > 1 {\displaystyle m>1} such that

    Fortunate number

    Fortunate_number

  • Erdős–Nicolas number
  • In math, a number that is equal to the sum of some of its factors

    In number theory, an Erdős–Nicolas number is a number that is not perfect, but that equals one of the partial sums of its divisors. That is, a number n

    Erdős–Nicolas number

    Erdős–Nicolas_number

  • Polite number
  • Type of integer in number theory

    In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. A positive integer

    Polite number

    Polite number

    Polite_number

  • Superior highly composite number
  • Class of natural numbers with many divisors

    In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is

    Superior highly composite number

    Superior highly composite number

    Superior_highly_composite_number

  • Cunningham number
  • In mathematics, specifically in number theory, a Cunningham number is a certain kind of integer named after English mathematician A. J. C. Cunningham.

    Cunningham number

    Cunningham_number

  • Vampire number
  • Type of composite number with an even number of digits

    recreational mathematics, a vampire number (or true vampire number) is a composite natural number with an even number of digits, that can be factored into

    Vampire number

    Vampire_number

  • Centered polygonal number
  • Class of series of figurate numbers, each having a central dot

    k-gonal number contains k more dots than the previous layer. Each centered k-gonal number in the series is k times the previous triangular number, plus

    Centered polygonal number

    Centered polygonal number

    Centered_polygonal_number

  • Pentatope number
  • Number in the 5th cell of any row of Pascal's triangle

    In number theory, a pentatope number (or hypertetrahedral number or triangulo-triangular number) is a number in the fifth cell of any row of Pascal's

    Pentatope number

    Pentatope number

    Pentatope_number

  • Euclid number
  • Product of prime numbers, plus one

    there are infinitely many prime numbers. A Euclid number of the second kind (also called Kummer number) is an integer of the form En = pn # − 1, where pn #

    Euclid number

    Euclid_number

  • Pyramidal number
  • Figurate number

    A pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. The term often refers to square pyramidal numbers,

    Pyramidal number

    Pyramidal number

    Pyramidal_number

  • Woodall number
  • Number of the form (n * 2^n) - 1

    number theory, a Woodall number (Wn) is any natural number of the form W n = n ⋅ 2 n − 1 {\displaystyle W_{n}=n\cdot 2^{n}-1} for some natural number

    Woodall number

    Woodall_number

  • Hexagonal number
  • Type of figurate number

    A hexagonal number is a figurate number. The nth hexagonal number hn is the number of distinct dots in a pattern of dots consisting of the outlines of

    Hexagonal number

    Hexagonal number

    Hexagonal_number

  • Wieferich prime
  • Prime such that p^2 divides 2^(p-1)-1

    In number theory, a Wieferich prime is a prime number p such that p2 divides 2p − 1 − 1, therefore connecting these primes with Fermat's little theorem

    Wieferich prime

    Wieferich_prime

  • Jacobsthal number
  • Numbers in a type of Lucas sequence

    starts with 0 and 1, then each following number is found by adding the number before it to twice the number before that. The first Jacobsthal numbers

    Jacobsthal number

    Jacobsthal_number

  • Pernicious number
  • Number with prime Hamming weight

    pernicious. Odious numbers are numbers with an odd number of 1s in their binary expansion (OEIS: A000069). Evil numbers are numbers with an even number of 1s

    Pernicious number

    Pernicious_number

  • Persistence of a number
  • Property of a number

    In mathematics, the persistence of a number is the number of times one must apply a given operation to an integer before reaching a fixed point at which

    Persistence of a number

    Persistence_of_a_number

  • Cullen number
  • Mathematical concept

    Cullen number is a member of the integer sequence C n = n ⋅ 2 n + 1 {\displaystyle C_{n}=n\cdot 2^{n}+1} (where n {\displaystyle n} is a natural number). Cullen

    Cullen number

    Cullen_number

  • Deficient number
  • Number that is more than the sum of its proper divisors

    In number theory, a deficient number or defective number is a positive integer n for which the sum of divisors of n is less than 2n. Equivalently, it

    Deficient number

    Deficient number

    Deficient_number

  • Delannoy number
  • Number of paths between grid corners, allowing diagonal steps

    In mathematics, a Delannoy number D {\displaystyle D} counts the paths from the southwest corner (0, 0) of a rectangular grid to the northeast corner (m

    Delannoy number

    Delannoy_number

  • Eulerian number
  • Polynomial sequence

    In combinatorics, the Eulerian number A ( n , k ) {\textstyle A(n,k)} is the number of permutations of the numbers 1 to n {\textstyle n} in which exactly

    Eulerian number

    Eulerian number

    Eulerian_number

  • Polydivisible number
  • Number whose first n digits is a multiple of n

    In mathematics a polydivisible number (or magic number) is a number in a given number base with digits abcde... that has the following properties: Its

    Polydivisible number

    Polydivisible_number

  • Repunit
  • Numbers that contain only the digit 1

    In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands

    Repunit

    Repunit

  • Centered polyhedral number
  • Type of figurate number

    formed by a central dot, surrounded by polyhedral layers with a constant number of edges. The length of the edges increases by one in each additional layer

    Centered polyhedral number

    Centered_polyhedral_number

  • Wolstenholme number
  • Number that is the numerator of the generalized harmonic number H_(n,2)

    In mathematics, a Wolstenholme number is a number that is the numerator of the generalized harmonic number Hn,2. The first such numbers are 1, 5, 49,

    Wolstenholme number

    Wolstenholme_number

  • Superperfect number
  • Number whose divisors summed twice over equal twice itself

    In number theory, a superperfect number is a positive integer n that satisfies σ 2 ( n ) = σ ( σ ( n ) ) = 2 n , {\displaystyle \sigma ^{2}(n)=\sigma (\sigma

    Superperfect number

    Superperfect_number

  • Stirling number
  • Mathematical sequences in combinatorics

    frequently arise in combinatorics. Moreover, all three can be defined as the number of partitions of n elements into k non-empty subsets, where each subset

    Stirling number

    Stirling_number

  • Euler number
  • Integers occurring in the coefficients of the Taylor series of 1/cosh t

    combinatorics, specifically when counting the number of alternating permutations of a set with an even number of elements. The odd-indexed Euler numbers

    Euler number

    Euler_number

  • Quasiperfect number
  • Numbers whose sum of divisors is twice the number plus 1

    unsolved problems in mathematics In mathematics, a quasiperfect number is a natural number n for which the sum of all its divisors (the sum-of-divisors function

    Quasiperfect number

    Quasiperfect_number

  • Self number
  • Type of natural number

    In number theory, a self number in a given number base b {\displaystyle b} is a natural number that cannot be written as the sum of any other natural

    Self number

    Self_number

  • Square pyramidal number
  • Number of stacked spheres in a pyramid

    In mathematics, a pyramid number, or square pyramidal number, is a natural number that counts the stacked spheres in a pyramid with a square base. The

    Square pyramidal number

    Square pyramidal number

    Square_pyramidal_number

  • Lychrel number
  • Number, non-palindrome after repeated sum with reverse

    numbers exist? More unsolved problems in mathematics A Lychrel number is a natural number that cannot form a palindrome through the iterative process of

    Lychrel number

    Lychrel_number

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