Properties of the Number 31320

Thirty-One Thousand Three Hundred Twenty

Basics

Value: 31319 → 31320 → 31321

Parity: even

Prime: No

Previous Prime: 31319

Next Prime: 31321

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 5 × 29

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001011000

Octal: 75130

Duodecimal: 16160

Hexadecimal: 7a58

Square: 980942400

Square Root: 176.97457444503152

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

The number of permutations p of {1,...,n} satisfying |p(i)-p(i+1)| is in {4,5} for i from 1 to n-1. A174708

Triangle read by rows: T(n,k) = number of n X n binary matrices with k pairwise nonadjacent 1's, n >= 0, k = 0..n². A232833

Numbers k such that k² is a palindrome when written in base 17. A118651

Number of ways to place 4 nonattacking wazirs on an n X n board. A172227

The least positive integer that has exactly n different representations as Brazilian number. A284758

Nontrivial nonunitary multiply perfect numbers: the sum of the nonunitary divisors of n is a positive multiple of n; i.e., (σ(n) - usigma(n))/n is a positive integer. A64595

Nonunitary doubly perfect numbers: the sum of the nonunitary divisors of n is 2n; i.e., σ(n) - usigma(n) = 2n. A64592

Numbers with prime factorization p·q*r³*s³ (where p, q, r, s are distinct primes). A190108

Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative. A344700

a(n) is the least positive integer k such that k is a repdigit number in exactly n different bases B, where 1<B<k. A66460