Properties of the Number 54837

Fifty-Four Thousand Eight Hundred Thirty-Seven

Basics

Value: 54836 → 54837 → 54838

Parity: odd

Prime: No

Previous Prime: 54833

Next Prime: 54851

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 677

Divisors: 1, 3, 9, 27, 81, 677, 2031, 6093, 18279, 54837

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011000110101

Octal: 153065

Duodecimal: 27899

Hexadecimal: d635

Square: 3007096569

Square Root: 234.17301296263838

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

G.f. satisfies: A(x) = exp( ∑_n>=1 xⁿ/n * ∏_k>=1 (1 + x^n·k*A(x^k)ⁿ) ). A218552

Maximal number of root ancestral configurations among matching gene trees and species trees with n leaves. A355108

Fourth term of weak prime septet: p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2). A54837