Properties of the Number 57507

Fifty-Seven Thousand Five Hundred Seven

Basics

Value: 57506 → 57507 → 57508

Parity: odd

Prime: No

Previous Prime: 57503

Next Prime: 57527

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 29 × 661

Divisors: 1, 3, 29, 87, 661, 1983, 19169, 57507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000010100011

Octal: 160243

Duodecimal: 29343

Hexadecimal: e0a3

Square: 3307055049

Square Root: 239.80617173042066

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

Number of oriented multidimensional n-ominoes with cell centers determining n-3 space. A355052

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252142

Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506. A57507

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252148