Properties of the Number 55956

Fifty-Five Thousand Nine Hundred Fifty-Six

Basics

Value: 55955 → 55956 → 55957

Parity: even

Prime: No

Previous Prime: 55949

Next Prime: 55967

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 4663

Divisors: 1, 2, 3, 4, 6, 12, 4663, 9326, 13989, 18652

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101010010100

Octal: 155224

Duodecimal: 28470

Hexadecimal: da94

Square: 3131073936

Square Root: 236.55020608741816

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.: 1 / ∏_k>=1 (1-x^k)^k-1. A52847

T(n,k) = Number of n X k 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or one horizontal or vertical neighbors. A199230

Expansion of (η(q²)η(q⁶)/(η(q)η(q³)))⁶ in powers of q. A123653

Expansion of q / (χ(q) * χ(q³))⁶ in powers of q where χ() is a Ramanujan θ function. A107653

Low-temperature series in exp(4J/kT) for antiferromagnetic susceptibility for the Ising model on square lattice. A2979

Numbers n such that φ(φ(n)) + σ(σ(n)) is a 4th power. A172464

Number of nX4 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or one horizontal or vertical neighbors. A199226

Number of n X n 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or one horizontal or vertical neighbors. A199222

n + reversal of base 8 digits of n (written in base 10). A55956