Properties of the Number 55305

Fifty-Five Thousand Three Hundred Five

Basics

Value: 55304 → 55305 → 55306

Parity: odd

Prime: No

Previous Prime: 55291

Next Prime: 55313

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1229

Divisors: 1, 3, 5, 9, 15, 45, 1229, 3687, 6145, 11061

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100000001001

Octal: 154011

Duodecimal: 28009

Hexadecimal: d809

Square: 3058643025

Square Root: 235.17015116719213

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

The q expansion of λ⁵, a Hauptmodul for Gamma₁(5). A78905

The expansion of R(q)^-5 in powers of q where R() is the Rogers-Ramanujan continued fraction. A229793

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1100-1111-1000 pattern in any orientation. A146721

Expansion of (1+x)⁴/(1-x). A171418

Number of labeled rooted trees with n nodes and 4 leaves. A55305