Properties of the Number 63135

Sixty-Three Thousand One Hundred Thirty-Five

Basics

Value: 63134 → 63135 → 63136

Parity: odd

Prime: No

Previous Prime: 63131

Next Prime: 63149

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 23 × 61

Divisors: 1, 3, 5, 9, 15, 23, 45, 61, 69, 115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011010011111

Octal: 173237

Duodecimal: 30653

Hexadecimal: f69f

Square: 3986028225

Square Root: 251.2667904837406

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

Monotonic ordering of nonnegative differences 4ⁱ-7^j, for 40>= i>=0, j>=0. A192165

a(n) = 7ⁿ - n⁸. A24083

Number of (n+1) X (5+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0000 0011 or 0101. A259219

Number of zero-sum -n..n arrays of 5 elements with adjacent element differences also in -n..n. A202255

Number of n X 4 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253000

T(n,k) = Number of n X k nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253004

Dimension of the space of weight 2n cusp forms for Gamma₀( 67 ). A63135