Properties of the Number 55935

Fifty-Five Thousand Nine Hundred Thirty-Five

Basics

Value: 55934 → 55935 → 55936

Parity: odd

Prime: No

Previous Prime: 55933

Next Prime: 55949

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 11 × 113

Divisors: 1, 3, 5, 9, 11, 15, 33, 45, 55, 99

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101001111111

Octal: 155177

Duodecimal: 28453

Hexadecimal: da7f

Square: 3128724225

Square Root: 236.505813882027

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 q * (f(q⁹) / f(q))³ in powers of q where f() is a Ramanujan θ function. A227454

Series expansion of (η(q⁹) / η(q))³ in powers of q. A121589

Numbers k such that s(k) = s(k+1) but φ(k) ≠ φ(k+1), where s(k) = φ(k) + φ(φ(k)) + ... + 1 is the sum of iterated φ (A092693). A291177

a(0)=1; a(n) = ∑_{j<n, gcd(n,a(j)) = 1} a(j). A55935