Properties of the Number 55638

Fifty-Five Thousand Six Hundred Thirty-Eight

Basics

Value: 55637 → 55638 → 55639

Parity: even

Prime: No

Previous Prime: 55633

Next Prime: 55639

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 11 × 281

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101100101010110

Octal: 154526

Duodecimal: 28246

Hexadecimal: d956

Square: 3095587044

Square Root: 235.87708663623943

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

Expansion of η(q⁶) * η(q¹⁰) / (η(q) * η(q¹⁵)) in powers of q. A94023

Expansion of q * (χ(-q³) * χ(-q⁵)) / (χ(-q) * χ(-q¹⁵))² in powers of q where χ() is a Ramanujan θ function. A123630

Numbers k for which σ(k²) is prime. A55638

G.f. A(x) satisfies: [xⁿ] A( x/A(x)^3·n ) = 0 for n>=1. A300733