Properties of the Number 57513

Fifty-Seven Thousand Five Hundred Thirteen

Basics

Value: 57512 → 57513 → 57514

Parity: odd

Prime: No

Previous Prime: 57503

Next Prime: 57527

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 1009

Divisors: 1, 3, 19, 57, 1009, 3027, 19171, 57513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000010101001

Octal: 160251

Duodecimal: 29349

Hexadecimal: e0a9

Square: 3307745169

Square Root: 239.81868150750893

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

Total number of different letters summed over all ternary words of length n. A210448

a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 0,1,2. A49858

Expansion of (1/x) * Series_Reversion( x * (1-4·x)³ / (1-3·x) ). A371365

Decimal part of cube root of a(n) starts with 6: first term of runs. A34132

Number of (2+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250814

Molien series for invariants of finite Coxeter group D₁₀ (bisected). A266773

Number of separate orbits to which permutations given in A057511/A057512 (induced by deep rotation of general parenthesizations/plane trees) partition each A000108(n) objects encoded by A014486 between (A014138(n-1)+1)-th and (A014138(n))-th terms. A57513