Properties of the Number 58524

Fifty-Eight Thousand Five Hundred Twenty-Four

Basics

Value: 58523 → 58524 → 58525

Parity: even

Prime: No

Previous Prime: 58511

Next Prime: 58537

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 4877

Divisors: 1, 2, 3, 4, 6, 12, 4877, 9754, 14631, 19508

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010010011100

Octal: 162234

Duodecimal: 29A50

Hexadecimal: e49c

Square: 3425058576

Square Root: 241.91734125523124

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 n-bead necklaces labeled with numbers -5..5 allowing reversal, with sum zero and first differences in -5..5. A209029

Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241307

T(n,k) is the number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero and first differences in -k..k. A209032

Each c(i) is "multiply" (*) or "divide" (/). a(n) is number of choices for c(1), ..., c(n-1) so that 1 c(1) 2 c(2) 3,.., c(n-1) n is an integer. A58524