Properties of the Number 55146

Fifty-Five Thousand One Hundred Forty-Six

Basics

Value: 55145 → 55146 → 55147

Parity: even

Prime: No

Previous Prime: 55127

Next Prime: 55147

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 13 × 101

Divisors: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011101101010

Octal: 153552

Duodecimal: 27AB6

Hexadecimal: d76a

Square: 3041081316

Square Root: 234.8318547386619

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

Number of solutions to +-p(1)+-p(2)+-...+-p(2n)=1 where p(i) is the i-th prime. A113040

Maximal coefficient of (1 + x²) * (1 + x³) * (1 + x⁵) * ... * (1 + x^prime(n)). A350457

Expansion of ∑_i>=1 i·xⁱ/(1 - x) * ∏_j=1..i 1/(1 - x^j). A284870

Number of ways of partitioning the set of the first n primes into two subsets whose sums differ at most by 1. A306443

Number of solutions to +-p(1)+-p(2)+-...+-p(2n) = 3 where p(i) is the i-th prime. A113042

Number of solutions to +-2 +- 3 +- 5 +- 7 +- ... +- prime(n) = 0 or 1. A350404

G.f. A(x) satisfies [x^2·n] A(x)^3·n = -3 and [x^2·n+1] A(x)^3·n+1 = [x^2·n+1] A(x)^3·n+2 for n >= 1. A376225

G.f.: A(x,y) = ∑_n=-oo..+oo (x·y)^n*(n+1/2) * C(x)^2·n-1, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A355346

Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(3). A14696

a(n)=n+floor(r·a(n-1)), where r = golden ratio = (1+sqrt(5))/2, a(0)=0, a(1)=1. A182640