Properties of the Number 53115

Fifty-Three Thousand One Hundred Fifteen

Basics

Value: 53114 → 53115 → 53116

Parity: odd

Prime: No

Previous Prime: 53113

Next Prime: 53117

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 3541

Divisors: 1, 3, 5, 15, 3541, 10623, 17705, 53115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111101111011

Octal: 147573

Duodecimal: 268A3

Hexadecimal: cf7b

Square: 2821203225

Square Root: 230.466917365595

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

Number of binary necklaces of length n with no subsequence 000. A93305

Irregular triangle read by rows: T(n, k) is the number of chains of subspaces 0 < V₁ < ... < V_r = (F₂)ⁿ, counted up to coordinate permutation, with dimension increments given by (any fixed permutation of) the parts of the k-th partition of n in Abramowitz-Stegun order. A348113

Number of 2-divided words of length n over a 3-letter alphabet. A210323

Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(2,5) + cn(3,5) and 0 < cn(0,5) + cn(4,5) + cn(2,5) + cn(3,5). A39903

a(n) = smallest number k such that (k + n)' = k', or -1 if no such number exists, where k' is the arithmetic derivative of k. A255354

a(n) = ((8·n+10)(!⁸))/20, related to A034908 ((8·n+2)(!⁸) octo- or 8-factorials). A53115