Properties of the Number 57613

Fifty-Seven Thousand Six Hundred Thirteen

Basics

Value: 57612 → 57613 → 57614

Parity: odd

Prime: No

Previous Prime: 57601

Next Prime: 57637

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 17 × 3389

Divisors: 1, 17, 3389, 57613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000100001101

Octal: 160415

Duodecimal: 29411

Hexadecimal: e10d

Square: 3319257769

Square Root: 240.0270818053663

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

Floor of concatenation of n, n+1, n+2, n+3, n+4, n+5 divided by 6. A74996

Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k distinct columns and any number of nonzero rows with column sums n and rows in nonincreasing lexicographic order. A331161

E.g.f. satisfies: A(x) = exp(-1) * ∑_n>=0 exp(x·A(x)ⁿ)/n!. A195895

1/n! times the number of ordered pairs of permutation functions f,g on n elements where f(f(x)) = g(f(g(x))). A255515

Number of binary words of length n (beginning 0) with autocorrelation function 2^n-1+2. A45692

Number of n X 4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,2,0,1,3 for x=0,1,2,3,4. A197043

Numbers that are both lucky numbers (A000959) and of form 2^k-1 (A000225). A57613

E.g.f. satisfies: A(x) = ∑_n>=0 exp(A(x)ⁿ - 1)*A(x)ⁿ*xⁿ/n!. A196531