Properties of the Number 12696

Twelve Thousand Six Hundred Ninety-Six

Basics

Value: 12695 → 12696 → 12697

Parity: even

Prime: No

Previous Prime: 12689

Next Prime: 12697

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 23 ²

Divisors: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110011000

Octal: 30630

Duodecimal: 7420

Hexadecimal: 3198

Square: 161188416

Square Root: 112.6765281680262

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

a(n) = n²*(n+1). A11379

Expansion of g.f.: (1+x)/(1-23·x). A170743

Coefficients in q-expansion of (3·E₂*E₄ - 2·E₆ - E₂³)/1728, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A282097

a(n) is the maximal permanent of an n X n symmetric Toeplitz matrix using the integers 0 to n - 1. A358327

Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)² = (S_i S_j)¹⁶ = I. A167938

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222673

a(n) = 24·n². A195824

Number of n-step self-avoiding walks on 12-D cubic lattice. A342888

Sum of two powers of 23. A73215

Smallest area of triangle with integer sides and area = n times perimeter. A289155