Properties of the Number 15268

Fifteen Thousand Two Hundred Sixty-Eight

Basics

Value: 15267 → 15268 → 15269

Parity: even

Prime: No

Previous Prime: 15263

Next Prime: 15269

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 × 347

Divisors: 1, 2, 4, 11, 22, 44, 347, 694, 1388, 3817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101110100100

Octal: 35644

Duodecimal: 8A04

Hexadecimal: 3ba4

Square: 233111824

Square Root: 123.5637487291479

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 self-avoiding polygons of length 2n on square lattice (not allowing rotations). A2931

Numbers that are the sum of eight fourth powers in seven or more ways. A345582

Numbers that are the sum of eight fourth powers in exactly seven ways. A345839

Structured triakis tetrahedral numbers (vertex structure 4). A100175

G.f. A(x) satisfies 1/x = ∑_n=-oo..+oo A(x)ⁿ * (A(x)ⁿ + 5)ⁿ⁺¹. A379205

a(n) = prime(prime(prime(A028815(n) - 1) - 1) - 1) - 1. A141133

Numbers k such that k·2^m-1 are composites for all exponents m in the range 0<=m<=k. A61154

Number of length n+2 0..1 arrays with at most one downstep in every n consecutive neighbor pairs. A255993

a(n) = A337339(n) - n. A337341

G.f.: ∑_k>=0 x^k² * ∏_j=1..k ((1 + x^j)/(1 - x^j))². A376854