Properties of the Number 31794

Thirty-One Thousand Seven Hundred Ninety-Four

Basics

Value: 31793 → 31794 → 31795

Parity: even

Prime: No

Previous Prime: 31793

Next Prime: 31799

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 757

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 757, 1514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110000110010

Octal: 76062

Duodecimal: 16496

Hexadecimal: 7c32

Square: 1010858436

Square Root: 178.30872104302694

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) = n!*LaguerreL(n, n). A277423

At stage 1, start with a unit equilateral triangle. At each successive stage add 3*(n-1) new triangles around outside with vertex-to-vertex contacts. Sequence gives number of triangles at n-th stage. A269064

McKay-Thompson series of class 30B for the Monster group with a(0) = 0. A58613

Largest squarefree number dividing sum of cubes of divisors of n. A80238

Number of permutations p of (1,2,3,...,n) such that σ(1+p(1))+σ(2+p(2))+...+σ(n+p(n))=2·n². A73110

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones. A31794