Properties of the Number 31616

Thirty-One Thousand Six Hundred Sixteen

Basics

Value: 31615 → 31616 → 31617

Parity: even

Prime: No

Previous Prime: 31607

Next Prime: 31627

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁷ × 13 × 19

Divisors: 1, 2, 4, 8, 13, 16, 19, 26, 32, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101110000000

Octal: 75600

Duodecimal: 16368

Hexadecimal: 7b80

Square: 999571456

Square Root: 177.80888616714296

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

Triangle read by rows: T(n,k) (n >= 1, 0 <= k <= ceiling(n/2)-1) = number of permutations of [n] with k peaks. A8303

Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 2·x + 2. A257609

Number of positive solutions to x²+y²+z² <= n². A253663

A triangle related to the a(n) formulas of the rows of the ED3 array A167572. A167580

Number of ways to place 2 nonattacking kings on an n X n toroidal board. A179403

T(n,k)=Number of (n+2)X(k+2) 0..1 matrices with each 3X3 subblock having the same population. A224651

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the difference of the upper median and the minimum in each 2X2 subblock. A236065

Expansion of 2·x³/((1-2·x)²*(1-4·x)). A431

Number of ways to place 2 nonattacking knights on an n X n toroidal board. A172529

Number of partitions p of n not including ceiling(mean(p)) as a part. A241337