Properties of the Number 63136

Sixty-Three Thousand One Hundred Thirty-Six

Basics

Value: 63135 → 63136 → 63137

Parity: even

Prime: No

Previous Prime: 63131

Next Prime: 63149

Digit Sum: 19

Digital Root: 1

Palindrome: Yes

Factorization: 2 ⁵ × 1973

Divisors: 1, 2, 4, 8, 16, 32, 1973, 3946, 7892, 15784

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011010100000

Octal: 173240

Duodecimal: 30654

Hexadecimal: f6a0

Square: 3986154496

Square Root: 251.26878039263056

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+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1)). A234083

Terms of A083393 such that the sum of the factorials of the digits is prime. A83394

Biquadrateful (i.e., not biquadrate-free) palindromes. A133514

Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10. A234076

Number of (n+1)X(5+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10. A234080

Palindromes whose ten's complements are squares. A121233

Dimension of the space of weight 2n cusp forms for Gamma₀( 68 ). A63136