Properties of the Number 54531

Fifty-Four Thousand Five Hundred Thirty-One

Basics

Value: 54530 → 54531 → 54532

Parity: odd

Prime: No

Previous Prime: 54521

Next Prime: 54539

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 73 × 83

Divisors: 1, 3, 9, 73, 83, 219, 249, 657, 747, 6059

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010100000011

Octal: 152403

Duodecimal: 27683

Hexadecimal: d503

Square: 2973629961

Square Root: 233.51873586502646

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

Numbers that are the sum of seven fourth powers in ten or more ways. A345576

Numbers that are the sum of seven fourth powers in exactly ten ways. A345832

Numbers k such that (2·k)!/(2*(k!)²) - 1 is prime. A112861

G.f.: (-1+6·x)/(1-3·x-2·x²). A246313

a(n) = [xⁿ] 2 / (1 - (2·n - 1)*x + sqrt(1 - 2·x - 3·x²)). A344556

Value of p² + (p-1)²/2 as p runs through A001359 (the lesser of twin primes). A372069

Triangular array T read by rows: T(n,k) = n/gcd(n,k) (n >= 1, 1 <= k <= n). A54531

A(n, k) = [x^k] 2 / (1 - (2·n - 1)*x + sqrt(1 - 2·x - 3·x²)). The number of n-colored Motzkin arcs of length k. Array read by ascending antidiagonals, n >= 0 and k >= 0. A344567

Number of -n..n arrays of 7 elements with adjacent element differences also in -n..n. A201046