Properties of the Number 31960

Thirty-One Thousand Nine Hundred Sixty

Basics

Value: 31959 → 31960 → 31961

Parity: even

Prime: No

Previous Prime: 31957

Next Prime: 31963

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 × 17 × 47

Divisors: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110011011000

Octal: 76330

Duodecimal: 165B4

Hexadecimal: 7cd8

Square: 1021441600

Square Root: 178.77359984069236

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

Structured great rhombicosidodecahedral numbers. A100145

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum one and no antidiagonal sum one. A255082

Numbers that take a record number of steps to appear in A181391. A171863

Number of partitions in parts not of the form 15k, 15k+3 or 15k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 6 are greater than 1. A35957

a(n) = ∑_{k=0..floor(n/2)} binomial(k+3,4·n-8·k+3). A390040

Expansion of q^-1/2 * k(q) * (1 - k(q)⁴) * (K(q) / (π/2))⁶ / 4 in powers of q where k(), k'(), K() are Jacobi elliptic functions. A225923

a(n) = 8000·n - 40. A157660

Sum of the first k-1 numbers in the k-th column of the natural number array A000027, by antidiagonals. A185788

Number of (w,x,y) with all terms in {0,...,n} and even range. A212975

Integers n > 1 such that A130280(4n²) < n, i.e., there is an m < n, m > 1 such that 4n²(m² - 1) + 1 is a square. A130281