Properties of the Number 58739

Fifty-Eight Thousand Seven Hundred Thirty-Nine

Basics

Value: 58738 → 58739 → 58740

Parity: odd

Prime: No

Previous Prime: 58733

Next Prime: 58741

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 151 × 389

Divisors: 1, 151, 389, 58739

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010101110011

Octal: 162563

Duodecimal: 29BAB

Hexadecimal: e573

Square: 3450270121

Square Root: 242.3613005411549

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 compositions (ordered partitions) of n into powers of 3. A78932

a(0)=a(1)=1, a(n) = least k > a(n-1) such that k·a(n-2) is a triangular number. A214961

Symmetrical dissections of an n-gon. A63

G.f. A(x) satisfies: A(x) = 1 / ∏_n>=1 (1 - xⁿ*A(x)^n-1). A210043

Satisfies A(x) = f(x) + x·A(x)*f(x)², where f(x) = ∑_k>=0 x^(3ⁿ-1/2) and f(x)² = 2 - f(x²) + 2*∑_n>0 x^A023745(n). Also, A(x) = f(x)*B(x), where B(x) = ∑_k>=0 A087218(k)*x^k. A87219

McKay-Thompson series of class 66A for Monster. A58739