Properties of the Number 57699

Fifty-Seven Thousand Six Hundred Ninety-Nine

Basics

Value: 57698 → 57699 → 57700

Parity: odd

Prime: No

Previous Prime: 57697

Next Prime: 57709

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 2137

Divisors: 1, 3, 9, 27, 2137, 6411, 19233, 57699

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000101100011

Octal: 160543

Duodecimal: 29483

Hexadecimal: e163

Square: 3329174601

Square Root: 240.20616145303185

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

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 101 in rows and columns. A203091

Odd numbers k such that A173557(k) = A173557(σ(k)), where A173557(n) is multiplicative with a(p^e) = p-1 and σ is the sum of divisors function. A387159

Number of (n+2)X4 binary arrays avoiding patterns 000 and 101 in rows and columns. A203085

Number of (n+2)X8 binary arrays avoiding patterns 000 and 101 in rows and columns. A203089

a(n) = ∑_{k=0..floor(n/4)} binomial(n,k) * binomial(n-3·k,k). A383523

Primes whose reversal is a cube. A57699

Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0 or 2 neighboring 1s. A296332