Properties of the Number 54135

Fifty-Four Thousand One Hundred Thirty-Five

Basics

Value: 54134 → 54135 → 54136

Parity: odd

Prime: No

Previous Prime: 54133

Next Prime: 54139

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 401

Divisors: 1, 3, 5, 9, 15, 27, 45, 135, 401, 1203

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001101110111

Octal: 151567

Duodecimal: 273B3

Hexadecimal: d377

Square: 2930598225

Square Root: 232.66929320389488

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.: A(x) = ∑_k>=0 x^k * (1+x)^k*(k+1/2). A121690

G.f. A(x) satisfies: ∑_n>=0 A(x)^n*(n+1/2) * xⁿ = ∑_n>=0 (1+x)^n*(n-1/2) * xⁿ. A326424

a(n) = T(n,1), array T as in A054134. A54135

G.f. A(x) satisfies: ∑_n>=0 x^n*(n+1/2) * A(x)ⁿ = ∑_n>=0 xⁿ * (1+x)^n*(n+1/2). A325298