Properties of the Number 55580

Fifty-Five Thousand Five Hundred Eighty

Basics

Value: 55579 → 55580 → 55581

Parity: even

Prime: No

Previous Prime: 55579

Next Prime: 55589

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 7 × 397

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101100100011100

Octal: 154434

Duodecimal: 281B8

Hexadecimal: d91c

Square: 3089136400

Square Root: 235.75410919006268

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

L.g.f.: ∑_n>=1 (x - x^2·n-1)^2·n-1 / (2·n-1). A293597

Expansion of ∑_i>=1 μ(i)²*xⁱ/(1 - xⁱ) / ∏_j>=1 (1 - μ(j)²*x^j), where μ() is the Moebius function (A008683). A281572

Number of n X 5 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically. A209647

a(n) = floor(Fibonacci(n)^1/π). A171962

Björner-Welker sequence: 2ⁿ*(n² + n + 2) - 1. A55580