Properties of the Number 31365

Thirty-One Thousand Three Hundred Sixty-Five

Basics

Value: 31364 → 31365 → 31366

Parity: odd

Prime: No

Previous Prime: 31357

Next Prime: 31379

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 17 × 41

Divisors: 1, 3, 5, 9, 15, 17, 41, 45, 51, 85

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101010000101

Octal: 75205

Duodecimal: 16199

Hexadecimal: 7a85

Square: 983763225

Square Root: 177.1016657177453

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) = n*(n + 7)*(n + 14)*(n + 21)/24. A264447

a(n) = ∑_k=0..n binomial(5·n+1,k) * binomial(3·n-k,n-k). A386896

Number of compositions of n such that the number of parts is divisible by the greatest part. A171634

Number of binary strings of length n with equal numbers of 00001 and 10010 substrings. A164205

Squares where A323809 gets stuck. A323813

Numbers k such that 2^k + 1 is divisible by the sum of its decimal digits. A333474

Expansion of a certain Dirichlet series. A31365