Properties of the Number 31170

Thirty-One Thousand One Hundred Seventy

Basics

Value: 31169 → 31170 → 31171

Parity: even

Prime: No

Previous Prime: 31159

Next Prime: 31177

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 1039

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 1039, 2078

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100111000010

Octal: 74702

Duodecimal: 16056

Hexadecimal: 79c2

Square: 971568900

Square Root: 176.5502761255275

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

Sum of all parts of all partitions of n that do not contain 1 as a part. A138880

Sum of parts in all partitions of 2n that do not contain 1 as a part. A182736

Place n equally spaced points on each side of an equilateral triangle, and join each of these points by a chord to the 2·n new points on the other two sides: sequence gives number of edges in the resulting planar graph. A366485

a(n) = prime(n+8) - prime(n). A31170

G.f. A(x) satisfies: ∑_k=0..n [x^k] A(x)ⁿ = binomial(5·n,2·n). A244650

Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of these n·k points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of edges in the resulting planar graph. A367305