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Properties of the Number 10155

Ten Thousand One Hundred Fifty-Five

Basics

Value: 10154 → 10155 → 10156

Parity: odd

Prime: No

Previous Prime: 10151

Next Prime: 10159

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 677

Divisors: 1, 3, 5, 15, 677, 2031, 3385, 10155

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110101011

Octal: 23653

Duodecimal: 5A63

Hexadecimal: 27ab

Square: 103124025

Square Root: 100.772019926168

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Integers that need 10 iterations of the map x->A352172(x) to reach 1. A352268
Number of circular compositions of n such that no two adjacent parts are equal. A106369
Where records occur in A117831. A118474
Numbers n which are neither palindromes nor the sum of two palindromes, with property that the largest palindrome which when subtracted from n yields the sum of two palindromes is not the palindromic floor of n (A261423(n)), but rather the next palindrome below that. A261911
5 times centered pentagonal numbers: 5*(5·n2 + 5·n + 2)/2. A164015
spt(n) - p(n): total number of smallest parts in all partitions of n minus the number of partitions of n. A215513
Ordered factorizations with one level of parentheses indexed by prime signatures. A050354(A025487). A50355
Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 9. A245149
Numbers m, such that the smallest prime factor of 1+78557·2m doesn't belong to the covering set {3, 5, 7, 13, 19, 37, 73}. A258095
a(n) is the sum of the prime factors, with repetition, of the sum of all preceding terms, with initial terms a(1)=1 and a(2)=2. A269004