Properties of the Number 8730

Eight Thousand Seven Hundred Thirty

Basics

Value: 8729 → 8730 → 8731

Parity: even

Prime: No

Previous Prime: 8719

Next Prime: 8731

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 97

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000011010

Octal: 21032

Duodecimal: 5076

Hexadecimal: 221a

Square: 76212900

Square Root: 93.43446901438462

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

Number of 2 X 2 singular integer matrices with elements from {0,...,n}. A59306

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=6. A135191

Numbers k such that k² is palindromic in base 8. A29805

22-gonal numbers: a(n) = n*(10·n-9). A51874

Number of ways of writing n as the sum of n+1 triangular numbers, divided by n+1. A106336

Number of partitions of n having no parts with multiplicity 5. A184640

a(n) = ∑_k=0..3 binomial(6,k)*binomial(n,k). A247608

Triangle read by rows: T(n,m) is the number of inequivalent n X m matrices under action of the Klein group, with one-third each of 1s, 2s and 3s (ordered occurrences rounded up/down if m·n ≠ 0 mod 3). A286892

Number of 3 X 3 stochastic matrices under row and column permutations. A52282

Numbers k that can be expressed as k = w + x = y·z with w·x = y² + z² where w, x, y, and z are all positive integers. A57373