Properties of the Number 31116

Thirty-One Thousand One Hundred Sixteen

Basics

Value: 31115 → 31116 → 31117

Parity: even

Prime: No

Previous Prime: 31091

Next Prime: 31121

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 2593

Divisors: 1, 2, 3, 4, 6, 12, 2593, 5186, 7779, 10372

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100110001100

Octal: 74614

Duodecimal: 16010

Hexadecimal: 798c

Square: 968205456

Square Root: 176.39727889057698

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

Octahedral numbers: a(n) = n*(2·n² + 1)/3. A5900

Number of nondecreasing arrangements of 7 numbers x(i) in -(n+5)..(n+5) with the sum of sign(x(i))*x(i)² zero. A188007

Partial sums of the even triangular numbers (A014494). A352115

Coefficients in Molien series for 5-dimensional faithful representation of Horrocks-Mumford group G_HM. A258702

Number of partitions of n into parts not of the form 25k, 25k+4 or 25k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 11 are greater than 1. A36003

The forgotten topological index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1). A292346

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252384

Position of n-th 4 in A031111. A31116