Properties of the Number 58707

Fifty-Eight Thousand Seven Hundred Seven

Basics

Value: 58706 → 58707 → 58708

Parity: odd

Prime: No

Previous Prime: 58699

Next Prime: 58711

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 593

Divisors: 1, 3, 9, 11, 33, 99, 593, 1779, 5337, 6523

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110010101010011

Octal: 162523

Duodecimal: 29B83

Hexadecimal: e553

Square: 3446511849

Square Root: 242.29527440707545

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 and no column sum 0. A255783

Pentagonal numbers (A000326) in which parity of digits alternates. A297644

Partial sums of A038580. A86749

Number of (n+2)X(1+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 and no column sum 0. A255776

Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 and no column sum 0. A255781

Pentagonal numbers (A000326) whose digit reversal is the product of 2 palindromes greater than 1. A115703

a(n) = 10·a(n-1) - a(n-2) with a(0) = 0, a(1) = 2. A1078

McKay-Thompson series of class 52a for Monster. A58707