Properties of the Number 31928

Thirty-One Thousand Nine Hundred Twenty-Eight

Basics

Value: 31927 → 31928 → 31929

Parity: even

Prime: No

Previous Prime: 31907

Next Prime: 31957

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 13 × 307

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 307, 614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110010111000

Octal: 76270

Duodecimal: 16588

Hexadecimal: 7cb8

Square: 1019397184

Square Root: 178.6840787535364

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

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250877

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 2. A49970

Expansion of e.g.f. x/cos(x)*exp(x/cos(x)). A189238

Number of (n+1) X (4+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250873

Number of (3+1) X (n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250880

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 331", based on the 5-celled von Neumann neighborhood. A271279

Triangle read by rows: T(n, k) is the number of permutations of size n that require exactly k iterations of the pop-stack sorting map to reach the identity, for n >= 1, 0 <= k <= n-1. A359413

Decimal part of a(n)^1/7 starts with reversal of its integer part: first term of runs. A34313

Convoluted convolved Fibonacci numbers G₇^r. A89113

Lower prime of a difference of 10 between consecutive primes. A31928