Properties of the Number 31940

Thirty-One Thousand Nine Hundred Forty

Basics

Value: 31939 → 31940 → 31941

Parity: even

Prime: No

Previous Prime: 31907

Next Prime: 31957

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 1597

Divisors: 1, 2, 4, 5, 10, 20, 1597, 3194, 6388, 7985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110011000100

Octal: 76304

Duodecimal: 16598

Hexadecimal: 7cc4

Square: 1020163600

Square Root: 178.71765441612084

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

a(n) = ChebyshevT(3, n). A144129

Number of ways to write n as an ordered sum of 10 nonzero triangular numbers. A340955

T(n,k) = Number of n X k integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself. A265960

a(n) = (n+3)²*n/2 + 1. A154560

a(n) = ∑_i=1..n σ(i)*σ(i+1), where σ(n) = A000203(n) is the sum of the divisors of n. A330322

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^binomial(k+2,3). A344203

Expansion of 1/(1 - 2·x + 3·x² + 2·x³ + x⁴). A375255

Fibonacci sequence beginning 0, 20. A22354

Numerators of continued fraction convergents to sqrt(399). A41758

Values of z in solutions (x,y,z) to the Diophantine equation x³-x²+y³-y²=z³-z², with 1<x<y<z arranged in order of increasing x. A138669