Properties of the Number 58745

Fifty-Eight Thousand Seven Hundred Forty-Five

Basics

Value: 58744 → 58745 → 58746

Parity: odd

Prime: No

Previous Prime: 58741

Next Prime: 58757

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 31 × 379

Divisors: 1, 5, 31, 155, 379, 1895, 11749, 58745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010101111001

Octal: 162571

Duodecimal: 29BB5

Hexadecimal: e579

Square: 3450975025

Square Root: 242.3736784388932

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 nXk binary arrays with every 1 immediately preceded by 0 0 to the left or above. A203108

a(n) = ∑_k=1..n binomial(n,n-k)*n^n-k*n!/(n-k)!. A277372

Coefficient of·in minimal polynomial of the continued fraction [1ⁿ,4,1,1,1,...], where 1ⁿ means n ones. A265803

E.g.f.: ∏_k>=1 (1 + k*(exp(x)-1)^k). A326884

Number of n X 3 binary arrays with every 1 immediately preceded by 0 0 to the left or above. A203103

G.f. satisfies: A(x) = (1 + x·A(x)²) * (1 + x/A(x)). A216359

McKay-Thompson series of class 70B for Monster. A58745