Properties of the Number 12934

Twelve Thousand Nine Hundred Thirty-Four

Basics

Value: 12933 → 12934 → 12935

Parity: even

Prime: No

Previous Prime: 12923

Next Prime: 12941

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 29 × 223

Divisors: 1, 2, 29, 58, 223, 446, 6467, 12934

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001010000110

Octal: 31206

Duodecimal: 759A

Hexadecimal: 3286

Square: 167288356

Square Root: 113.72774507568502

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

Bernoulli number B_n has denominator 354. A255684

Expansion of ∏_k>0 1/theta₃(q^k), where theta₃() is the Jacobi θ function. A320068

Expansion of e.g.f. -log(1 - log(1 + x))/(1 - log(1 + x)). A302547

a(n)² is the start of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245). A340663

a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero n-gonal numbers in exactly n ways, or 0 if no such integer exists. A350207

Truncated octahedral numbers: 16·n³ - 33·n² + 24·n - 6. A5910

Numbers k such that 24·k-1 has at least three factors 7 and the partition function evaluated at k has at least the same number of factors 7 as 24·k-1. A340957

Triangle T(n, k) = binomial(2·n, n) + binomial(n, k)², read by rows. A157531

Numbers k such that the determinant of the Vandermonde matrix of their digits is equal to σ(k), the sum of divisors of k. A307586

Numbers k such that the continued fraction for sqrt(k) has period 96. A20435