Properties of the Number 54360

Fifty-Four Thousand Three Hundred Sixty

Basics

Value: 54359 → 54360 → 54361

Parity: even

Prime: No

Previous Prime: 54347

Next Prime: 54361

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 151

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010001011000

Octal: 152130

Duodecimal: 27560

Hexadecimal: d458

Square: 2955009600

Square Root: 233.15231073270536

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

Sum T(n,k) of the k-th entries in all cycles of all permutations of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A285793

Triangle read by rows: T(n,k) = ((3/2)^k*2ⁿ + (2/3)^k*3ⁿ)*A008292(n+1,k+1). A154694

Triangle T read by rows: coefficients of polynomials generating array A099597. A99599

Sum of the n-th entries in all cycles of all permutations of [n+1]. A286175

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 0, 1), (0, 1, -1), (1, -1, 1), (1, 1, 0)}. A150658

Number of 3-step one or two collinear space at a time queen's tours on an n X n board summed over all starting positions. A187028

Number of polyominoes with n cells that do not tile the plane. A54360

G.f. A(x) satisfies: [xⁿ] A(x)^2·n+1 = [xⁿ] 2·A(x)ⁿ⁺¹, for n > 1. A352020