Properties of the Number 531

Five Hundred Thirty-One

Basics

Value: 530 → 531 → 532

Parity: odd

Prime: No

Previous Prime: 523

Next Prime: 541

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 59

Divisors: 1, 3, 9, 59, 177, 531

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010011

Octal: 1023

Duodecimal: 383

Hexadecimal: 213

Square: 281961

Square Root: 23.043437243605826

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

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Number of fractions in Farey series of order n. A5728

a(n) = n² + 2. A59100

a(n) = 10·n + 1. A17281

a(n) = A003961(n) - 2·n. A252748

a(n) = ∑_{k, k∣n} 2^k-1. A34729

Shifts left under COMPOSE transform with itself. A30266

Number of symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n. A138178

Average of twin prime pairs (A014574), divided by 2. Equivalently, 2·a(n)-1 and 2·a(n)+1 are primes. A40040

Generalized 14-gonal numbers: m*(6·m-5), m = 0,+1,-1,+2,-2,+3,-3,... A195818