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Natural number with a decimal representation made of repeated instances of the same digit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number
Repdigit
Natural number
eleventh primorial 208,023,278,209 = 28th Motzkin number. 222,222,222,222 = repdigit 225,851,433,717 = 56th Fibonacci number. 247,489,226,192 = number of centered
100,000,000,000
Natural number
6th primary pseudoperfect number. 2,219,006,624 = 745 2,222,222,222 : repdigit 2,276,423,485 : number of ways to partition {1,2,...,12} and then partition
1,000,000,000
Natural number
Markov number 2,156,735,837,173 : 162nd Markov number 2,222,222,222,222 : repdigit 2,236,994,992,300: initial number of eighth century xx00 to xx99 containing
1,000,000,000,000
Natural number
= 1-automorphic number 214,358,881 = 146412 = 1214 = 118 222,222,222 = repdigit 222,222,227 = safe prime 223,092,870 = the product of the first nine prime
100,000,000
Natural number
000,000 = 307 22,164,361,129 = 1574642 = 28093 = 536 22,222,222,222 = repdigit 22,801,763,489 = 1,000,000,000th prime number 23,818,760,154 = number of
10,000,000,000
Natural number
ending in 1, 3, 7 or 9 221,760 = 32nd highly composite number 222,222 = repdigit 224,737 = the 20,000th prime number 227,475 = Riordan number 234,256 =
100,000
Natural number
number, a nontotient, an untouchable number, and a Harshad number. It is a repdigit (and is therefore palindromic) in bases 6 (22226) and 36 (EE36). 518= 51 + 12 + 83
500_(number)
Natural number
Kaprekar number a lucky number a palindromic number in base ten the ninth repdigit the sum of the cubes of three consecutive integers: 99 = 23 + 33 + 43.
99_(number)
Natural number
pandigital number in base 8. 2,178,309 = Fibonacci number 2,222,222 = repdigit 2,266,502 = number of signed trees with 13 nodes 2,274,205 = number of
1,000,000
Symbols used to write numbers
Repdigits are a generalization of repunits; they are integers represented by repeated instances of the same digit. For example, 333 is a repdigit. The
Numerical_digit
Natural number
colors may be swapped but turning over is not allowed 22,222,222,222,222 : repdigit 22,592,065,572,301 : 185th Markov number 24,351,056,611,103 : number of
10,000,000,000,000
Numbers that contain only the digit 1
111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for "repeated unit" and was coined in 1966 by Albert H
Repunit
Natural number
that the proper divisors of any number do not add up to 292. 292 is a repdigit in base 8 with it being 444. In the simplified continued fraction for pi
292_(number)
Natural number
colossally abundant number, 13th superior highly composite number 22,222,222 = repdigit 22,235,661 = 33×77 22,667,121 = 47612 = 694 24,010,000 = 49002 = 704 24
10,000,000
Natural number
is the natural number following 221 and preceding 223. It is a decimal repdigit and a strobogrammatic number (meaning that it looks the same turned upside
222_(number)
Natural number
result, 511 is a palindromic number and a repdigit in bases 2 (1111111112). It is also palindromic and a repdigit in base 8 (7778). It is a generalized heptagonal
511_(number)
Natural number
Mertens function. 333 = 32 × 37. It is a zero of Mertens function and a repdigit. 2333 is the smallest power of two greater than a googol. 334 = 2 × 167
300_(number)
Natural number
refactorable number and a composite number. the 16th triangular number. a repdigit in base 16 (88). Wikimedia Commons has media related to 136 (number). 136
136_(number)
Natural number
palindromic number in bases 5 (3235), 10 (8810), 21 (4421), and 43 (2243). a repdigit in bases 10, 21 and 43. a 2-automorphic number. the smallest positive integer
88_(number)
Portmanteau and one-time observance
as an earlier instance of this portmanteau Framing (social sciences) Repdigit It was preceded by seven palindromic dates in the dd-mm-yyyy format in
Twosday
Natural number
555 is a sphenic number, with prime factorization 3 × 5 × 37. It is a repdigit in base 10 and base 36. It is palindromic in bases 9 (6769), 10 (55510)
555_(number)
Natural number
the terms 49, 65, 86 (it is the sum of the first two of these). 114 is a repdigit in base 7 (222). 114 (disambiguation) Sloane, N. J. A. (ed.). "Sequence
114_(number)
Natural number
bases 3 (22223), 6 (2126), 9 (889), 15 (5515), 19 (4419), and 39 (2239). A repdigit in bases 3, 9, 15, 19, and 39. The sum of the first four twin prime pairs:
80_(number)
Number used for counting
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Natural_number
Natural number
refactorable number. 156 is the number of graphs on 6 unlabeled nodes. 156 is a repdigit in base 5 (1111), and also in bases 25, 38, 51, 77, and 155. 156 degrees
156_(number)
Natural number
totient function φ(x) over the first twenty-one integers is 140. 140 is a repdigit in bases 13, 19, 27, 34, 69, and 139. 140 is also: The former Twitter entry-character
140_(number)
Natural number
is it ever a solution to x - φ(x), making it a noncototient. 170 is a repdigit in base 4 (2222) and base 16 (AA), as well as in bases 33, 84, and 169
170_(number)
Natural number
connected partially ordered sets with four labeled elements. 146 is also a repdigit in base 8 (222). 146 is also: 146th Airlift Wing is a unit of the California
146_(number)
Natural number
is divisible by the sum of its digits. 285 is divisible by 15. 285 is a repdigit number in base 7. In base 7, 285 is 555. 285 is a very symmetric number
285_(number)
Natural number
92. the smallest pseudoprime satisfying the congruence 3n ≡ 3 mod n. a repdigit in base 9 (1119). palindromic in bases 3 (101013), 9 (1119), and 12 (7712)
91_(number)
Number that is the result of operation on its own digits
10. Repdigit Friedman numbers: The smallest repdigit in any base that is a Friedman number is found in base 8, and is 33 = 33. The smallest repdigit in
Friedman_number
Natural number
calculator display, symbolic in various mystical traditions. 888 is a base ten repdigit (a number all of whose digits are equal), and 888 = 24 × 37. {\displaystyle
888_(number)
Natural number
number to immediately precede another sphenic number. palindromic and a repdigit in bases 22 (AA22), 45 (5545), 114 (22114), 229 (11229) a Harshad number
230_(number)
Natural number
258 and preceding 260. 259 is: a semiprime 63 + 62 + 6 + 1, so 259 is a repdigit in base 6 (11116) a lucky number Assuming A=1, B=2, C=3, D=4, etc..., all
259_(number)
Natural number
267. 266 is an even composite number with three prime factors. 266 is a repdigit in base 11. In base 11, 266 is 222. 266 is a sphenic number being the product
266_(number)
Natural number
the sum of 20 through 215 (20 + 21 + 22 + ... + 215) and is therefore a repdigit in base 2 (1111111111111111), in base 4 (33333333), and in base 16 (FFFF)
65,535
Iterative algorithm on numbers
of b − 1 {\displaystyle b-1} . When leading zeroes are retained, only repdigits lead to the trivial Kaprekar’s constant. In base 4, it can easily be shown
Kaprekar's_routine
Arithmetic operation
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Exponentiation
Natural number
+34+35+36=666} . In fact, 666 is the largest triangular number that is also a repdigit. Since 36 is a triangular number too, 666 is a doubly triangular number
666_(number)
Natural number
9988 – number of prime knots with 13 crossings 9999 – Kaprekar number, repdigit There are 112 prime numbers between 9000 and 10000: 9001, 9007, 9011, 9013
9000_(number)
Number divisible only by 1 and itself
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Prime_number
Natural number
integer, since its two prime factors, 3 and 31 are both Gaussian primes. a repdigit in base 5 (3335), and 30 (3330). palindromic in bases 2, 5, and 30. a lucky
93_(number)
Natural number
remaining Seventeen or Bust numbers in the Sierpinski problem 55555 = repdigit 55860 = harmonic divisor number 55987 = repunit prime in base 6 56011 =
50,000
Number equal to the sum of its proper divisors
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Perfect_number
Sequence of digits in the math constant π, incorrectly attributed to Feynman
2164201989 Mathematics portal 0.999... 9 (number) Mathematical coincidence Repdigit Ramanujan's constant Wells, D. (1986), The Penguin Dictionary of Curious
Six_nines_in_pi
Natural number
both Gaussian primes, this means that 129 is a Blum integer. 129 is a repdigit in base 6 (333). 129 is a happy number. 129 is a centered octahedral number
129_(number)
Type of composite number with an even number of digits
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Vampire_number
Natural number
number 76084 = amicable number with 63020 76424 = tetranacci number 77777 = repdigit 77778 = Kaprekar number 78125 = 57 78163 = Friedman prime 78498 = the number
70,000
Area of a right triangle with rational-numbered sides
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Congruent_number
Positive integer that is the product of three distinct prime numbers
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Sphenic_number
Natural number
regular 255-gon is constructible. In base 10, it is a self number. 255 is a repdigit in base 2 (11111111), in base 4 (3333), and in base 16 (FF). { 9 2 } =
255_(number)
1090/S0025-5718-08-02090-5. Caldwell, C.; Dubner, H. (1996–97). "The near repdigit primes A n − k − 1 B 1 A k {\displaystyle A_{n-k-1}B_{1}A_{k}} , especially
List_of_prime_numbers
Natural number
Harshad number, because it is divisible by the sum of its digits. 133 is a repdigit in base 11 (111) and base 18 (77), whilst in base 20 it is a cyclic number
133_(number)
Natural number
8856 – member of a Ruth-Aaron pair (first definition) with 8855 8888 – repdigit 8893 – star prime 8911 – Carmichael number, triangular number 8923 – super-prime
8000_(number)
Numbers obtained by adding the two previous ones
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Fibonacci_sequence
Integer having a non-trivial divisor
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Composite_number
Natural number
{\displaystyle 3\times q} where q {\displaystyle q} is a higher prime. It is a repdigit in quaternary (1114). As a biprime with proper divisors 1, 3 and 7, twenty-one
21_(number)
Natural number
and a primeval number. a factor of 10001 (the other being 73) and the repdigit 11111111 (= 10001 × 1111). using two radii to divide a circle according
137_(number)
Recursive integer sequence
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Catalan_number
Natural number
A004022 (Primes of the form (10^k - 1)/9. Also called repunit primes or repdigit primes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
23_(number)
Natural number
2572, palindromic in hexadecimal (1020116) 66,198 = Giuga number 66,666 = repdigit 67,081 = 2592, palindromic in base 6 (12343216) 67,171 = 16 + 26 + 36 +
60,000
Natural number
primitive polynomials of degree 18 over GF(2) 7777 – Kaprekar number, repdigit 7810 – ISO/IEC 7810 is the ISO's standard for physical characteristics
7000_(number)
Natural number
+ 41 + 43 + 47 + 53), Mertens function returns 0, nontotient. It is a repdigit in bases three (111111), nine (444), twenty-five (EE), twenty-seven (DD)
360_(number)
Natural number
and 80105 are all multiples of 37; any multiple of 37 with a three-digit repdigit inserted generates another multiple of 37 (for example, 30007, 31117, 74
37_(number)
Natural number
a lucky prime. Since 241 = 15 × 24 + 1, it is a Proth prime. 241 is a repdigit in base 15 (111). 241 is the only known Lucas–Wieferich prime to (U, V)
241_(number)
Integer filtered out using a sieve similar to that of Eratosthenes
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Lucky_number
Two raised to an integer power
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Power_of_two
Ten raised to an integer power
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Power_of_10
Type of Poulet number
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Super-Poulet_number
Natural number
square pyramidal number 5527 – happy prime 5536 – tetranacci number 5555 – repdigit 5557 – super-prime 5563 – balanced prime 5564 – amicable number with 5020
5000_(number)
Infinite integer series where the next number is the sum of the two preceding it
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Lucas_number
Natural number
largest 5-digit square 99,991 = largest five-digit prime number 99,999 = repdigit, Kaprekar number: 999992 = 9999800001; 99998 + 00001 = 99999 There are
90,000
Numbers with a certain property involving recursive summation
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Happy_number
Natural number
whose all permutations are composites but they are not multiples of 3, repdigits or numbers which only have digits 0, 2, 4, 5, 6 and 8, even excluding
49_(number)
Type of integer in number theory
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Polite_number
Product of an integer with itself
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Square_number
Class of natural numbers with many divisors
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Superior highly composite number
Superior_highly_composite_number
Natural number
number 2211 – triangular number 2221 – super-prime, happy number 2222 – repdigit 2223 – Kaprekar number 2230 – sum of the totient function for the first
2000_(number)
Figurate number
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Triangular_number
Natural number
frequency in digital audio (and is the standard for compact discs). 44444 = repdigit 44583 = number of partitions of 41 44721 = smallest positive integer such
40,000
Numbers whose sum of divisors is twice the number minus 1
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Almost_perfect_number
Worst-case number of comparisons used by sorting algorithms
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Sorting_number
Numbers with many divisors
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Highly_composite_number
Property of a number
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Persistence_of_a_number
containing no singletons 1221 = product of the first two digit, and three digit repdigit 1222 = hexagonal pyramidal number 1223 = Sophie Germain prime, balanced
1000_(number)
Natural number
triangular number that starts with the digit 8, Harshad number, happy number, repdigit (1111) in base 9 821 = prime number, twin prime, Chen prime, Eisenstein
800_(number)
Integer of the form 3 × 2^n – 1 for non-negative n
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Thabit_number
Composite number with special property
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Knödel_number
Type of prime number
In base 10 and base 12, every permutable prime is a repunit or a near-repdigit, that is, it is a permutation of the integer P(b, n, x, y) = xxxx...xxxyb
Permutable_prime
Number that remains the same when its digits are reversed
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Palindromic_number
Natural number
following highly composite numbers. palindromic in undecimal (199111) and a repdigit in bases 55, 59, and 62. a Harshad number in all bases between binary and
2520_(number)
Natural number
= pentagonal pyramidal number 22140 = square pyramidal number 22222 = repdigit, Kaprekar number: 222222 = 493817284, 4938 + 17284 = 22222 22447 = cuban
20,000
Type of number introduced by Mike Keith
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Keith_number
Natural number
37, therefore all triplets (numbers like 222 or 777) in base ten are repdigits of the form 3 n × 37 {\displaystyle 3n\times 37} . As a repunit, it also
111_(number)
Natural number
pyramidal number 32993 = Leyland prime using 2 & 15 (215 + 152) 33333 = repdigit 33461 = Pell number, Markov number 33511 = square pyramidal number 33781
30,000
Natural number
with 88793, 88799, 88801, 88807, 88811, 88813, 88817, and 88819. 88,888 = repdigit 89,134 = number of partitions of 45 There are 876 prime numbers between
80,000
Stoneham number Champernowne constant Absolutely normal number Repunit Repdigit Semiprime Almost prime Unique prime Factorial prime Permutable prime Palindromic
List of recreational number theory topics
List_of_recreational_number_theory_topics
Natural number
the form 3n − 1 (with no exponentiation implied). 239 is a factor of the repdigit 1111111, with the other prime factor being 4649. 239 is also a happy number
239_(number)
Count of the possible partitions of a set
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Bell_number
REPDIGIT
REPDIGIT
REPDIGIT
REPDIGIT
Boy/Male
Greek
A priest of Apollo.
Girl/Female
Arabic, Muslim
Balance; Temperance; Moderation
Girl/Female
Hindu
Goddess Sita
Girl/Female
Gujarati, Hindu, Indian
Giver of Happiness; Giver of Joy
Boy/Male
Tamil
Lord of a town
Boy/Male
Hindu, Indian, Malayalam, Marathi, Oriya, Sanskrit, Tamil
Divine
Boy/Male
Indian, Punjabi, Sikh
Absorbed in Consciousness
Girl/Female
Tamil
Leadership
Boy/Male
Hindu
Unique, Unmatched, New
Girl/Female
Indian, Punjabi, Sikh
Truth; Absorbed in Gurbani
REPDIGIT
REPDIGIT
REPDIGIT
REPDIGIT
REPDIGIT