Properties of the Number 31312

Thirty-One Thousand Three Hundred Twelve

Basics

Value: 31311 → 31312 → 31313

Parity: even

Prime: No

Previous Prime: 31307

Next Prime: 31319

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 19 × 103

Divisors: 1, 2, 4, 8, 16, 19, 38, 76, 103, 152

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001010000

Octal: 75120

Duodecimal: 16154

Hexadecimal: 7a50

Square: 980441344

Square Root: 176.95197088475732

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 which are representable as a sum of nineteen but no fewer consecutive nonnegative integers. A270303

Number of permutations p on the set [n] with the properties that abs(p(i)-i) <= 3 for all i, p(1) <= 2, and p(4) >= 2. A188495

On the standard 33-hole cross-shaped peg solitaire board, the number of distinct board positions after n jumps (starting with the center vacant). A112737

a(n) = n*(Fibonacci(n) - 1) + Fibonacci(n + 2) - 1. A131412

Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w=R, x=R, y=R, z<R, where R = max{w,x,y,z} - min{w,x,y,z}. A212751

Number of compositions of n with exactly three occurrences of the largest part. A243738

a(n) = ∑_k=0..n binomial(n, k) * binomial((n-k)*k, k). A264409

Number of closed meanders with 2n crossings and 5 digons. A300901

Integer part of log(nⁿ)^{1 + log(1 + log(n})). A62449

Nearest integer to log(nⁿ)^{1 + log(1 + log(n})). A62450