Properties of the Number 12872

Twelve Thousand Eight Hundred Seventy-Two

Basics

Value: 12871 → 12872 → 12873

Parity: even

Prime: No

Previous Prime: 12853

Next Prime: 12889

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 1609

Divisors: 1, 2, 4, 8, 1609, 3218, 6436, 12872

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001001001000

Octal: 31110

Duodecimal: 7548

Hexadecimal: 3248

Square: 165688384

Square Root: 113.45483682946268

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

Numbers k such that k, k+1, k+2 and k+3 have the same number of divisors. A6601

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, and adjacent elements not equal modulo three (with -1 modulo 3 = 2). A199909

Cogrowth sequence of the 16-element group C8 X C2 = <S,T | S⁸, T², [S,T]>. A377840

a(n) = ∑_k=0..n binomial(8·n,8·k). A70832

Numbers k such that (j^k + k^j) == 0 (mod k+j), j=2 case. A114977

T(n,k)=Number of 0..k arrays of length n with each element differing from at least one neighbor by 2 or more, starting with 0. A221515

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251923

Number of n-step self-avoiding walks on the 4-dimensional hypercubic lattice with no non-contiguous adjacencies. A34006

a(n) = ∑_{k <= n/2} binomial(n-2k, 3k+2). A137358

Expansion of g.f. A(x) satisfying 4 = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (4·A(x) + x^2·n-1)ⁿ⁺¹. A363184