Properties of the Number 31296

Thirty-One Thousand Two Hundred Ninety-Six

Basics

Value: 31295 → 31296 → 31297

Parity: even

Prime: No

Previous Prime: 31277

Next Prime: 31307

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 163

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101001000000

Octal: 75100

Duodecimal: 16140

Hexadecimal: 7a40

Square: 979439616

Square Root: 176.90675509996785

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 subsets of {1...n} containing no prime indices of the elements. A324741

Number of walks within N² (the first quadrant of Z²) starting at (0,0) and consisting of n steps taken from {(-1, 0), (1, 0), (1, 1)}. A151281

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7. A251876

T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally or vertically adjacent neighbor totalling three exactly once. A269097

a(n) = [xⁿ] ∏_k>=1 (1 + n·x^k)^k. A298987

Number of distinct lines passing through at least three points in a triangular grid of side n. A234248

Column 1 of triangle A370041. A370154

Sum of terms in n-th row of A077164. A77167

Smallest number that yields a prime when concatenated with A088265(k) for all k <= n. A88266

a(n) = 2·F(n-1) + 9·F(n-4) + 9·F(n-7) where n >= 7 and F = A000045. A280931