Properties of the Number 54768

Fifty-Four Thousand Seven Hundred Sixty-Eight

Basics

Value: 54767 → 54768 → 54769

Parity: even

Prime: No

Previous Prime: 54767

Next Prime: 54773

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 × 163

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101010111110000

Octal: 152760

Duodecimal: 27840

Hexadecimal: d5f0

Square: 2999533824

Square Root: 234.0256396209612

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 1/(4·sqrt(1-4·x) - 3). A115970

Apply partial sum operator 5 times to primes. A254784

Number of one-sided n-celled polyzebras (or zebra-move-connected polyominoes). A93990

a(n) = [xⁿ] ( S(x/(1 + x)) )ⁿ, where S(x) = (1 - x - sqrt(1 - 6·x + x²))/(2·x) is the o.g.f. of the large Schröder numbers A006318. A333473

Expansion of e.g.f. 1/(1 - x*(exp(x) - 1)³). A392821

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 39. A31717

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 441", based on the 5-celled von Neumann neighborhood. A272222

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0ⁿ and T(n,k) = k * ∑_r=0..n binomial(n,r) * binomial(2·r+k,n)/(2·r+k) for k > 0. A378317

a(n+2) = (2n+3)*a(n+1) + (n+1)²*a(n). A54768