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Integer whose multiples are digit rotations
cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely-known cyclic number
Cyclic_number
Decimal representation of a number whose digits are periodic
also the article 142,857 for more properties of this cyclic number. A fraction which is cyclic thus has a recurring decimal of even length that divides
Repeating_decimal
Natural number, cyclic number
natural number following 142,856 and preceding 142,858. It is both a Kaprekar number and a cyclic number. 142857 is the best-known cyclic number in base
142857
Mathematical group that can be generated as the set of powers of a single element
In abstract algebra, a cyclic group or monogenous group is a group, denoted Cn (also frequently Z {\displaystyle \mathbb {Z} } n or Zn, not to be confused
Cyclic_group
Number n where n and totient(n) are coprime
definition is that a number n is cyclic if and only if any group of order n is cyclic. Any prime number is clearly cyclic. All cyclic numbers are square-free.
Cyclic_number_(group_theory)
Number that when multiplied by another number moves its last digit to its front
219, 32, 48, 66, 239, 81, 498, ... (sequence A128858 in the OEIS) Cyclic number Linear-feedback shift register Transposable integer Dawidoff, Nicholas
Parasitic_number
Index of articles associated with the same name
begin with cyclic: Cyclic chain rule, for derivatives, used in thermodynamics Cyclic code, linear codes closed under cyclic permutations Cyclic convolution
Cyclic_(mathematics)
Natural number
Markov number 142,129 = 3772, square number, dodecagonal number 142,857 = Kaprekar number, smallest cyclic number in decimal. 144,000 = number with religious
100,000
Natural number
(111) and base 18 (77), whilst in base 20 it is a cyclic number formed from the reciprocal of the number three. 133 is a semiprime: a product of two prime
133_(number)
Molecule with a ring of bonded atoms
form rings, the number of possible cyclic structures, even of small size (e.g., < 17 total atoms) numbers in the many billions. Cyclic compound examples:
Cyclic_compound
Number that permute or shift cyclically when multiplied by another number
or shift cyclically when they are multiplied by another integer n {\displaystyle n} . Examples are: 142857 × 3 = 428571 (shifts cyclically one place
Transposable_integer
Natural number
= Motzkin number 157,115,917 = number of parallelogram polyominoes with 24 cells. 165,580,141 = Fibonacci number 167,444,795 = cyclic number in base 6
100,000,000
Class of prime numbers
b) gives a cyclic number. Therefore, the base b expansion of 1 / p {\displaystyle 1/p} repeats the digits of the corresponding cyclic number infinitely
Full_reptend_prime
Sequence of numbers
cyclic number with p − 1 digits. Therefore, the base b expansion of 1 / p {\displaystyle 1/p} repeats the digits of the corresponding cyclic number infinitely
Reciprocals_of_primes
cubes in two different ways. 8128, the fourth perfect number. 142857, the smallest base 10 cyclic number. 9814072356, the largest perfect power that contains
List_of_numbers
Mathematical group based upon a finite number of elements
objects admit just a finite number of structure-preserving transformations. Important examples of finite groups include cyclic groups and permutation groups
Finite_group
Natural number
cyclic number in base 6 5,555,555 = repdigit 5,623,756 = number of trees with 22 unlabelled nodes 5,702,887 = Fibonacci number 5,761,455 = the number
1,000,000
379, 389, 401, 409 (OEIS: A109611) A circular prime is a number that remains prime on any cyclic rotation of its base 10 digits. 2, 3, 5, 7, 11, 13, 17
List_of_prime_numbers
Error-detecting code for detecting data changes
A cyclic redundancy check (CRC) is an error-detecting code commonly used in digital networks and storage devices to detect accidental changes to digital
Cyclic_redundancy_check
Type of (mathematical) permutation with no fixed element
theory, a cyclic permutation is a permutation consisting of a single cycle. In some cases, cyclic permutations are referred to as cycles; if a cyclic permutation
Cyclic_permutation
Natural number
super-prime 4139 – safe prime 4140 – Bell number 4141 – centered square number 4147 – smallest cyclic number in duodecimal represented in base-12 notation
4000_(number)
Cellular second messenger
Cyclic adenosine monophosphate (cAMP, cyclic AMP, or 3',5'-cyclic adenosine monophosphate) is a second messenger, or cellular signal occurring within
Cyclic adenosine monophosphate
Cyclic_adenosine_monophosphate
Composite number in number theory
Fermat witness for any even composite number.) From the criterion it also follows that Carmichael numbers are cyclic. Additionally, it follows that there
Carmichael_number
Concept in Number Theory
the multiplicative group of integers modulo p, then qp(a) will be a cyclic number, and p will be a full reptend prime. From the definition, it is obvious
Fermat_quotient
Natural number
dual positions with the vertices of another tetrahedron. The smallest non-cyclic group has four elements; it is the Klein four-group. An alternating groups
4
Cyclic nucleic acid
A cyclic nucleotide (cNMP) is a single-phosphate nucleotide with a cyclic bond arrangement between the sugar and phosphate groups. Like other nucleotides
Cyclic_nucleotide
Peptide chains which contain a circular sequence of bonds
Cyclic peptides are polypeptide chains which contain a circular sequence of bonds. This can be through a connection between the amino and carboxyl ends
Cyclic_peptide
Convex hull of points on moment curve
McMullen and Richard Stanley, the boundary Δ(n,d) of the cyclic polytope C(n,d) maximizes the number fi of i-dimensional faces among all simplicial spheres
Cyclic_polytope
Irreducible fraction = in lowest terms Dyadic fraction Recurring decimal Cyclic number Farey sequence Ford circle Stern–Brocot tree Dedekind sum Egyptian fraction
List_of_number_theory_topics
Number in {..., –2, –1, 0, 1, 2, ...}
\mathbb {Z} } under addition is the only infinite cyclic group—in the sense that any infinite cyclic group is isomorphic to Z {\displaystyle \mathbb
Integer
Chemical compound
Cyclic ozone is a theoretically predicted form of ozone. Like ordinary ozone (O=O+−O−), it would have three oxygen atoms. It would differ from ordinary
Cyclic_ozone
In combinatorial mathematics, cyclic sieving is a phenomenon in which an integer polynomial evaluated at certain roots of unity counts the rotational symmetries
Cyclic_sieving
Used to count, measure, and label
is 0.02. If the fractional part of a real number has an infinite sequence of digits that follows a cyclical pattern, it can be written with an ellipsis
Number
In algebra, a cyclic division algebra is one of the basic examples of a division algebra over a field and plays a key role in the theory of central simple
Cyclic_algebra
Natural number
nineteen) is the natural number following 118 and preceding 120. 119 is a Perrin number. 119 is the order of the largest cyclic subgroups of the monster
119_(number)
Alternative mathematical ordering
with a cyclic order is called a cyclically ordered set or simply a cycle.[nb] Some familiar cycles are discrete, having only a finite number of elements:
Cyclic_order
Chemical compound
Cyclic di-GMP (also called cyclic diguanylate and c-di-GMP) is a second messenger used in signal transduction in a wide variety of bacteria. Cyclic di-GMP
Cyclic_di-GMP
Type of flower having many whorls
arranged sepals on an otherwise cyclic flower, the term hemicyclic may be used. The suffix -cyclic is used to denote the number of whorls contained within
Cyclic_flower
noncommutative geometry and related branches of mathematics, cyclic homology and cyclic cohomology are certain (co)homology theories for associative algebras
Cyclic_homology
Pattern of vegetation change
Cyclic succession is a pattern of vegetation change in which in a small number of species tend to replace each other over time in the absence of large-scale
Cyclic_succession
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
Points on a common circle
For a cyclic polygon with an odd number of sides, all angles are equal if and only if the polygon is regular. A cyclic polygon with an even number of sides
Concyclic_points
Conjecture in number theory
constant plays here Brown–Zassenhaus conjecture Full reptend prime Cyclic number (group theory) Michon, Gerard P. (2006-06-15). "Artin's Constant". Numericana
Artin's conjecture on primitive roots
Artin's_conjecture_on_primitive_roots
Chemical compound
Cyclic guanosine monophosphate (cGMP) is a cyclic nucleotide derived from guanosine triphosphate (GTP). cGMP acts as a second messenger much like cyclic
Cyclic guanosine monophosphate
Cyclic_guanosine_monophosphate
Theorem in number theory
In number theory, the Hasse norm theorem states that if L/K is a cyclic extension of number fields, then if a nonzero element of K is a local norm everywhere
Hasse_norm_theorem
Galois extension whose Galois group is abelian
of a finite field is a cyclic extension. Class field theory provides detailed information about the abelian extensions of number fields, function fields
Abelian_extension
Chemical compound
Cyclic di-AMP (also called c-di-AMP and c-di-adenosine monophosphate) is a second messenger used in signal transduction in bacteria and archaea. It is
Cyclic_di-AMP
Human disease
Cyclic vomiting syndrome (CVS) is a chronic functional condition of unknown pathogenesis. CVS is characterized as recurring episodes lasting a single day
Cyclic_vomiting_syndrome
Online mathematics resource for cubic plane curves
more succinctly in "cyclic sum notation", like this: ∑ cyclic f ( x , y , z , a , b , c ) = 0 {\displaystyle \sum _{\text{cyclic}}f(x,y,z,a,b,c)=0} .
Catalogue_of_Triangle_Cubics
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
Chemical compound
Cyclic olefin polymer (COP) is a type of amorphous polymer used in a wide variety of applications including pharmaceutical packaging and medical devices
Cyclic_olefin_polymer
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
Shape with five sides
symmetry, order 10. Since 5 is a prime number, there is one subgroup with dihedral symmetry: Dih1, and 2 cyclic group symmetries: Z5, and Z1. These 4 symmetries
Pentagon
Medical condition
Cyclic neutropenia (CyN) is a rare hematologic disorder and form of congenital neutropenia that tends to occur approximately every three weeks and lasting
Cyclic_neutropenia
used to label the group within that order. Common group names: Zn: the cyclic group of order n (the notation Cn is also used; it is isomorphic to the
List_of_small_groups
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
Number
A Brain for Numbers: The Biology of the Number Instinct. MIT Press. p. 286. Reimer 2014, p. 172. "Cyclical views of time". www.mexicolore.co.uk. Retrieved
0
Topics referred to by the same term
cycle, cyclic, or cyclical in Wiktionary, the free dictionary. Cycle, cycles, or cyclic may refer to: Cyclic history, a theory of history Cyclical theory
Cycle
Terpene hydrocarbon
(/ˈlɪmənˌiːn/) is a colorless liquid aliphatic hydrocarbon classified as a cyclic monoterpene, and is the major component in the fragrance and essential oil
Limonene
field K is called a cyclic cubic field if it contains all three roots of its generating polynomial f. Equivalently, K is a cyclic cubic field if it is
Cubic_field
them. It was introduced by Connes (1983). The cyclic category Λ has one object Λn for each natural number n = 0, 1, 2, ... The morphisms from Λm to Λn
Cyclic_category
Deterministic model of computation
H = 001) Cyclic tag system Productions: (010 010, 100 010 001, 001, -, -, -) Tag system computation Initial word: ba abH Hbb (halt) Cyclic tag system
Tag_system
Chemical compound
5'-cyclic adenosine monophosphate (8-Br-cAMP) is a brominated derivative of cyclic adenosine monophosphate (cAMP). 8-Br-cAMP is an activator of cyclic AMP-dependent
8-Bromoadenosine 3',5'-cyclic monophosphate
8-Bromoadenosine_3',5'-cyclic_monophosphate
Mathematical concept and applications in software development
performing the inverse operation. A circular shift is a special kind of cyclic permutation, which in turn is a special kind of permutation. Formally, a
Circular_shift
System of digitally encoding numbers
false state as it is delayed in going from one cyclic number to the next. There are many other cyclic codes that have this property. […] {{cite book}}:
Binary-coded_decimal
Chemical compound
peroxide and a strong acidic catalyst to yield a mixture of linear monomer and cyclic dimer, trimer, and tetramer forms. The monomer is dimethyldioxirane. The
Acetone_peroxide
Number divisible only by 1 and itself
order is a cyclic group, and by Burnside's theorem any group whose order is divisible by only two primes is solvable. For a long time, number theory in
Prime_number
Chemical compound
Cyclic olefin copolymer (COC) is an amorphous polymer made by several polymer manufacturers. COC is a relatively new class of polymers as compared to commodities
Cyclic_olefin_copolymer
Natural number
integers that adds to 11, counting two sums as equivalent when they are cyclic permutations of each other. There are also 187 unordered triples of 5-bit
187_(number)
Type of sediment wave
be used to create cyclic steps in subaerial laboratory conditions, provided the Froude number is high enough. If the Froude number is lower than required
Cyclic_steps
Group of units of the ring of integers modulo n
|(\mathbb {Z} /n\mathbb {Z} )^{\times }|=\varphi (n).} For prime n the group is cyclic, and in general the structure is easy to describe, but no simple general
Multiplicative group of integers modulo n
Multiplicative_group_of_integers_modulo_n
Chemical compound
Cyclic guanosine monophosphate–adenosine monophosphate (cyclic GMP-AMP, cGAMP) is the first cyclic di-nucleotide found in metazoa. In mammalian cells,
Cyclic guanosine monophosphate–adenosine monophosphate
Cyclic_guanosine_monophosphate–adenosine_monophosphate
Elementary cellular automaton
emulate another computational model, the cyclic tag system, which is known to be universal. He first isolated a number of spaceships, self-perpetuating localized
Rule_110
Type of group in mathematics
mathematics, a primary cyclic group is a group that is both a cyclic group and a p-primary group for some prime number p. That is, it is a cyclic group of order
Primary_cyclic_group
Computation of a cyclic redundancy check is derived from the mathematics of polynomial division, modulo two. In practice, it resembles long division of
Computation of cyclic redundancy checks
Computation_of_cyclic_redundancy_checks
Chemical compound
abbreviated PC) is an organic compound with the formula C4H6O3. It is a cyclic carbonate ester derived from propylene glycol. This colorless and odorless
Propylene_carbonate
Theory of political fluctuations in US history
Cyclical theories of history are intended to explain the numerous recurring events and patterns in humanity's recorded history. Several such cycles and
Cyclical_theory
Mathematics of number-placement puzzle
such as "How many filled Sudoku grids are there?", "What is the minimal number of clues in a valid puzzle?" and "In what ways can Sudoku grids be symmetric
Mathematics_of_Sudoku
Shape with six sides
\mathrm {t} \{3\}} . A regular hexagon is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The
Hexagon
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
Graph with nodes connected in a closed chain
are many synonyms for "cycle graph". These include simple cycle graph and cyclic graph, although the latter term is less often used, because it can also
Cycle_graph
Natural number
Sequences. OEIS Foundation. Retrieved 2016-05-29. Numbers such that every cyclic permutation is a prime. "Sloane's A035497 : Happy primes". The On-Line Encyclopedia
79_(number)
Mathematical object
class of lattices and a generalization of cyclic lattices. Ideal lattices naturally occur in many parts of number theory, but also in other areas. In particular
Ideal_lattice
Chemical compound
trifluoromethanesulfonic anhydride, to selectively and rapidly nitrate cyclic (number of atoms in the ring is 5 or 6), aromatic and heteroaromatic compounds
Tetramethylammonium_nitrate
A cyclic cellular automaton is a kind of cellular automaton rule developed by David Griffeath and studied by several other cellular automaton researchers
Cyclic_cellular_automaton
Chemical compound
arrangements are known: a linear form with double bonds and charge transfer, and a cyclic form. Both forms are highly unstable, though the linear form is the more
Trinitrogen
Natural number
as 170! = 7.25741562 × 10306.[citation needed] There are 170 different cyclic Gilbreath permutations on 12 elements, and therefore there are 170 different
170_(number)
Infinite integer series where the next number is the sum of the two preceding it
A000032 in the OEIS) which coincides for example with the number of independent vertex sets for cyclic graphs C n {\displaystyle C_{n}} of length n ≥ 2 {\displaystyle
Lucas_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
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
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
Monomers which increase in volume
fact that cyclic compounds are possessing higher densities than their linear counterparts. This can be illustrated by a comparison of cyclic and linear
Expanding_monomer
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
Natural number
1301, which is substantially more than 51 twice. There are 51 different cyclic Gilbreath permutations on 10 elements, and therefore there are 51 different
51_(number)
Type of social theories
such as Cicero and Machiavelli commented on the kyklos. The more limited cyclical view of history defined as repeating cycles of events was put forward in
Social_cycle_theory
Numbers whose aliquot sums form a cyclic sequence
sequence must be cyclic and return to its starting point. The period of the sequence, or order of the set of sociable numbers, is the number of numbers in
Sociable_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
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
On Hamiltonian cycles in planar graphs
cubic polyhedral graphs with high cyclic edge connectivity. The cyclic edge connectivity of a graph is the smallest number of edges whose deletion leaves
Grinberg's_theorem
Rational number sequence
{B_{k}^{+{}}}{kz^{k}}}} The Kervaire–Milnor formula for the order of the cyclic group of diffeomorphism classes of exotic (4n − 1)-spheres which bound parallelizable
Bernoulli_number
CYCLIC NUMBER
CYCLIC NUMBER
Male
Irish
Irish name CAILTE means "the thin man." This is the name of a character from the Fenian cycle.
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Boy/Male
Tamil
Janardhan | ஜநாரà¯à®¤à®¨
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardhan | ஜநாரà¯à®¤à®¨
Boy/Male
Assamese, Hindu, Indian, Marathi
The Healer; Vishnu; Who Cures the Disease of Birth and Death Cycles
Boy/Male
Tamil
Jaramarana Varjita | ஜராமாஂரநா வரà¯à®œà¯€à®¤à®¾
Free from the cycle of births and deaths
Jaramarana Varjita | ஜராமாஂரநா வரà¯à®œà¯€à®¤à®¾
Girl/Female
Hindu, Indian, Traditional
The Periphery or Rim of a Wheel or Cycle
Surname or Lastname
English
English : nickname from Middle English loller ‘indolent fellow’, a derivative of lolle ‘to droop, dangle, or loll’.English : nickname from Middle English lollere ‘mumbler’, bestowed on a pious person or on a Lollard (a follower of the 14th-century religious reformer John Wyclif).
Girl/Female
American, Arabic, Australian, British, Chinese, English
Stone of the Colic; The Gemstone Jade; Green in Colour
Surname or Lastname
Americanized form of the Latin personal name Januarius or its Italian derivative Gennaro, which was borne by a number of early Christian saints, most famously a 3rd-century bishop of Benevento who became the patron of Naples.English
Americanized form of the Latin personal name Januarius or its Italian derivative Gennaro, which was borne by a number of early Christian saints, most famously a 3rd-century bishop of Benevento who became the patron of Naples.English : altered form of Janeway.In New England, a translation of French Janvier.
Boy/Male
Tamil
Janardhana | ஜநாரà¯à®¤à®¾à®¨à®¾
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardhana | ஜநாரà¯à®¤à®¾à®¨à®¾
Boy/Male
Hindu
Free from the cycle of births and deaths
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Boy/Male
Hindu, Indian, Marathi
Vishnu; The Healer; Who Cures the Disease of Birth and Death Cycles
Boy/Male
Tamil
Janardan | ஜநாரà¯à®¤à®¨
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardan | ஜநாரà¯à®¤à®¨
Boy/Male
Tamil
Janardana | ஜநாரà¯à®¤à®¨
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardana | ஜநாரà¯à®¤à®¨
Male
Spanish
Spanish name of Germanic origin, possibly GUIOMAR means "famous in battle." In the 13th century Vulgate Cycle of Arthurian romance, Sir Guiomar is the proud and beautiful knight of the crystal stream.
Boy/Male
English
royal.
Boy/Male
Anglo, British, English
With Royal Might
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
CYCLIC NUMBER
CYCLIC NUMBER
Girl/Female
Hindu, Indian, Marathi
Ornament; A Jewel
Girl/Female
Hebrew English Scottish
Gift from God.
Boy/Male
Muslim
Bravery, Valor
Boy/Male
Hindu
Gold or Lord Buddha, Early winter
Girl/Female
American, Australian, Christian, German, Latin, Spanish
Pretty Rose; Weak; Soft; Gentle Horse; Snake; Beautiful; Tender Horse
Boy/Male
Hindu
The Moon, Feature
Girl/Female
Greek, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sindhi, Tamil, Telugu
A Bud; Name of a Godess Kalli
Girl/Female
Indian, Modern, Telugu
Treasure; A Vedic Composition
Male
Irish
Variant spelling of Irish Gaelic Ceallach, CEALLAGH means "bright-headed."
Biblical
slender; sharp
CYCLIC NUMBER
CYCLIC NUMBER
CYCLIC NUMBER
CYCLIC NUMBER
CYCLIC NUMBER
p. pr. & vb. n.
of Cycle
a.
Of or pertaining to matter; material; corporeal; as, hylic influences.
n.
One entire round in a circle or a spire; as, a cycle or set of leaves.
imp. & p. p.
of Cycle
n.
The act or practice of using a cycle; cycling.
n.
One who rides a bicycle or tricycle; a cycler, or cyclist.
a.
Containing cysts; cystose; as, cystic sarcoma.
v. i.
To ride a bicycle, tricycle, or other form of cycle.
a.
Of or pertaining to the colon; as, the colic arteries.
n.
A mean or inferior poet, perhaps from his habit of wandering around as a stroller; an itinerant poet. Also, a name given to the cyclic poets. See under Cyclic, a.
a.
See Cystic.
a.
Having the form of, or living in, a cyst; as, the cystic entozoa.
a.
Pertaining to the Dog Star; as, the cynic, or Sothic, year; cynic cycle.
a.
Of or pertaining to colic; affecting the bowels.
a.
Alt. of Cyclical
v. i.
To pass through a cycle of changes; to recur in cycles.
n.
The act, art, or practice, of riding a cycle, esp. a bicycle or tricycle.
a.
Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See Cyclic poets, under Cyclic.
n.
A cycler.
a.
Of or pertaining to a cycle or circle; moving in cycles; as, cyclical time.