Properties of the Number 54160

Fifty-Four Thousand One Hundred Sixty

Basics

Value: 54159 → 54160 → 54161

Parity: even

Prime: No

Previous Prime: 54151

Next Prime: 54163

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 5 × 677

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1101001110010000

Octal: 151620

Duodecimal: 27414

Hexadecimal: d390

Square: 2933305600

Square Root: 232.7230113246217

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

Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent transpositions (0 <= k <= floor(n/2)). An adjacent transposition is a cycle of the form (i, i+1). A177248

Number of permutations of [n] having exactly three adjacent 2-cycles. A370529

Expansion of e.g.f. log(1 - log(1 - x)/(1 - x)). A300491

Number of (1+1) X (n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250878

G.f. A(x,y) satisfies: A(x,y) = x·y + A(x,x·y)², with A(0,y) = 1. A275670

G.f. A(x) = lim_n->infinity (P(n) - 1)/(2·x)ⁿ, where P(1,x) = 1/sqrt(1-4·x), and P(n+1,x) = 1/sqrt(1 - 4·x + 4·x/P(n,x)) for n >= 1. A351509

G.f. A(x) = ∏_n>=1 P(n,x), where P(1,x) = 1/sqrt(1-4·x), and P(n+1,x) = 1/sqrt(1 - 4·x + 4·x/P(n,x)) for n >= 1. A351511

Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s. A297604

Least number k such that the determinant of the symmetric Hankel matrix formed by its decimal digits is equal to n negated. A308208

Moebius transform of A001371 (starting at term 0). A54160