Properties of the Number 58743

Fifty-Eight Thousand Seven Hundred Forty-Three

Basics

Value: 58742 → 58743 → 58744

Parity: odd

Prime: No

Previous Prime: 58741

Next Prime: 58757

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 61 × 107

Divisors: 1, 3, 9, 61, 107, 183, 321, 549, 963, 6527

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010101110111

Octal: 162567

Duodecimal: 29BB3

Hexadecimal: e577

Square: 3450740049

Square Root: 242.3695525432186

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 length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and with no two consecutive decreases. A263681

Numbers n such that σ(n) - n = ∑_{k∣n, k < n} σ*(k), where σ(n) is the sum of the divisors of n and σ*(k) is the sum of the anti-divisors of k. A259536

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and with no two consecutive decreases. A263683

McKay-Thompson series of class 69A for Monster. A58743