Properties of the Number 10530

Ten Thousand Five Hundred Thirty

Basics

Value: 10529 → 10530 → 10531

Parity: even

Prime: No

Previous Prime: 10529

Next Prime: 10531

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 5 × 13

Divisors: 1, 2, 3, 5, 6, 9, 10, 13, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100100010

Octal: 24442

Duodecimal: 6116

Hexadecimal: 2922

Square: 110880900

Square Root: 102.61578825892242

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 integer partitions of n containing three parts (a,b,c) (repeats allowed) such that a + b = c. A variation of sum-full partitions. A363225

G.f. A(x) satisfies A(x) = 1 + x·A(x)³*A(-x)². A143546

A(n,k) is the n-th Rhonda number to base A002808(k), the k-th composite number; square array A(n,k), n>=1, k>=1, read by antidiagonals. A291925

Integers that are Rhonda numbers to base 8. A100970

a(n) = 3·binomial(5n+2,n)/(4n+3). A118970

Numbers j such that j and 2j are both between a pair of twin primes. A66388

Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

3 times 10-gonal (or decagonal) numbers: a(n) = 3·n*(4·n-3). A152767

Numbers of the form p⁴*q·r*s where p, q, r, and s are distinct primes. A179693

G.f. A(x) satisfies A(x) = 1 + x + x·A(x)⁵. A366268