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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
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
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
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
Natural number
nucleotides 217,774,440,785,026 : 211th Markov number 222,222,222,222,222 : repdigit 238,763,690,000,642 : 212th Markov number 259,215,937,709,463 : 22nd Schröder–Hipparchus
100,000,000,000,000
Natural number
a zero of Mertens function. It is also a palindromic number that is a repdigit in bases 8, 10, and 36. It is also the smallest multidigit composite palindrome
300_(number)
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
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
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)
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
+34+35+36=666} . 666 is the largest triangular number that is also a repdigit. It is also a smith number. In the Textus Receptus manuscripts of the New
666_(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
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
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
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)
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
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)
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)
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
number 7753 – super-prime 7770 – tetrahedral number 7777 – Kaprekar number, repdigit 7823 – Sophie Germain prime, safe prime, balanced prime 7825 – magic constant
7000_(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
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)
Natural number
result, 511 is a palindromic number and a repdigit in base 2 (1111111112). It is also palindromic and a repdigit in base 8 (7778). It is a generalized heptagonal
511_(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
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
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
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
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
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
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
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)
Natural number
precede another sphenic number. 230 a repdigit in bases 22 (AA22), 45 (5545), and 114 (22114). Like all repdigits, it is palindromic in these bases. It
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)
Number used for counting
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Natural_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)
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
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
Arithmetic operation
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Exponentiation
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
and a primeval number. a factor of 10001 (the other being 73) and the repdigit 11111111 (= 10001 × 1111). In decimal notation, 1/137 = 0.007 299 27, so
137_(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
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
Natural number
23 321,253,732,800 = superior highly composite number 333,333,333,333 = repdigit made of 3s 336,908,488,839 = number of secondary structures of RNA molecules
100,000,000,000
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
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)
Product of an integer with itself
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Square_number
Natural number
{\displaystyle 3\times q} where q {\displaystyle q} is a higher prime. It is a repdigit in quaternary (1114). As a semiprime with proper divisors 1, 3 and 7, twenty-one
21_(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)
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
Figurate number
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Triangular_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)
Natural number
prime number with 8 digits 99,999,999 = Repdigit, Friedman number, believed to be smallest number to be both repdigit and Friedman Hebdometre Sloane, N. J
10,000,000
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
Natural number
and 223). It is thus a balanced prime and an isolated prime. 211 is a repdigit in tetradecimal (111). 211 is the 47th prime number and therefore it is
211_(number)
Natural number
consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61). 341 is a palindrome and repdigit in bases 2 (1010101012), 4 (111114), 8 (5258), 17 (13117) and 30 (BB30)
341_(number)
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
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
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
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
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
pyramidal number. 820 = 22 × 5 × 41. It is a Harshad number, a happy number, a repdigit (1111) in base 9, and the 40th triangular number. 821 is a prime number
800_(number)
Natural number
over the finite field Z 13 {\displaystyle \mathbb {Z} _{13}} . It is a repdigit in tredecimal (11113). 183 is the fourth element of a divisibility sequence
183_(number)
Natural number
prime number. It is also a Jacobsthal-Lucas number. It is a palindrome and repdigit in base 2, which has 13 repeated digits of the number one. It is most notable
8191_(number)
Natural number
number which is the product of two consecutive integers (13 × 14) 182 is a repdigit in the D'ni numeral system (77), and in base 9 (222) 182 is a sphenic number
182_(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)
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
Recursive integer sequence
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Catalan_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
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
Type of integer in number theory
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Polite_number
Numbers with many divisors
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Highly_composite_number
Natural number
It is the sum of three consecutive primes (307 + 311 + 313). It is a repdigit in two different bases 11130 and 77711. There are 931 regular simple graphs
900_(number)
Natural number
= pentagonal pyramidal number 22140 = square pyramidal number 22222 = repdigit, Kaprekar number: 222222 = 493817284, 4938 + 17284 = 22222 22447 = cuban
20,000
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)
Natural number
10919 = highly cototient number 10920 = sparsely totient number 10922 = repdigit in base 4 (22222224), and palindromic in base 8 (252528) 10946 = Fibonacci
10,000
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
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
Property of a number
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Persistence_of_a_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
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
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
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
Repeated sum of a number's digits
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Digital_root
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
(sequence A000124 in the OEIS) It is the sum of powers of 5, or equivalently, repdigit in base 5 (11111) 782 = 2 × 17 × 23. It is a sphenic number, a nontotient
700_(number)
Natural number
that it is the 183rd prime number. It is also a twin prime with 1097, a repdigit in ternary, the smallest 4-digit star prime, and a centered dodecagonal
1093_(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
Composite number with special property
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Knödel_number
Natural number
follows for three-digit numbers: Take any three-digit number, other than repdigits such as 111. Leading zeros are allowed. Arrange the digits in descending
495_(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
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
Prime number of the form 2^n – 1
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Mersenne_prime
Product of two prime numbers
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Semiprime
Square of a triangular number
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Squared_triangular_number
Sum of a number's digits
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Digit_sum
Type of figurate number
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Polygonal_number
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
Type of figurate number
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Hexagonal_number
Polyhedral number representing a tetrahedron
Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation
Tetrahedral_number
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