Properties of the Number 57137

Fifty-Seven Thousand One Hundred Thirty-Seven

Basics

Value: 57136 → 57137 → 57138

Parity: odd

Prime: No

Previous Prime: 57131

Next Prime: 57139

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 17 × 3361

Divisors: 1, 17, 3361, 57137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111100110001

Octal: 157461

Duodecimal: 29095

Hexadecimal: df31

Square: 3264636769

Square Root: 239.0334704596827

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 nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4. A197280

a(n) = n + n*(n-1)*(n-2)*(n-3). A1094

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the 7 pairs of complementary target ratios needed to express the 12 unsymmetrical steps of the untempered (Just Intonation) scale known as the Duodene: 3/2 and 4/3, 5/4 and 8/5, 6/5 and 5/3, 9/8 and 16/9, 10/9 and 9/5, 16/15 and 15/8 and 45/32 and 64/45. A61920

a(n) = ceiling(n*φ¹⁷), where φ is the golden ratio, A001622. A4972

Strong pseudoprimes to base 57. A20283

Indices of primes in sequence defined by A(0) = 21, A(n) = 10·A(n-1) + 61 for n > 0. A101966

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4. A197276

Number of nX7 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4. A197279

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 969", based on the 5-celled von Neumann neighborhood. A273849

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the 11 pairs of target ratios needed to express the 22 steps of the theoretical Hindu scale known as the 22 Srutis: 45/32 and 64/45, 27/20 and 40/27, 4/3 and 3/2, 81/64 and 128/81, 5/4 and 8/5, 6/5 and 5/3, 32/27 and 27/16, 9/8 and 16/9, 10/9 and 9/5, 16/15 and 15/8, 256/243 and 243/128. A61921