Properties of the Number 65937

Sixty-Five Thousand Nine Hundred Thirty-Seven

Basics

Value: 65936 → 65937 → 65938

Parity: odd

Prime: No

Previous Prime: 65929

Next Prime: 65951

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 31 × 709

Divisors: 1, 3, 31, 93, 709, 2127, 21979, 65937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000110010001

Octal: 200621

Duodecimal: 321A9

Hexadecimal: 10191

Square: 4347687969

Square Root: 256.782008715564

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 binary arrays without the pattern 0 0 1 antidiagonally or horizontally. A188992

Self-convolution of (1, p(1), p(2), ...). A23626

Numbers n such that the decimal expansions of both n and n² have 3 as the digit with the smallest value and 9 as the digit with the largest value. A238553

Number of symmetric bushes with n edges. I.e., number of ordered trees with n edges, no non-root vertices of outdegree 1 and symmetrical with respect to the vertical axis passing through the root. A125189

Number of n X 3 binary arrays without the pattern 0 0 1 antidiagonally or horizontally. A188986

Number of 6Xn binary arrays without the pattern 0 0 1 antidiagonally or horizontally. A188996

a(n) = A027082(n, 2n). A27087

a(n) is the integer (reduced squarefree) under the square root obtained when the inverse of Minkowski's question mark function is applied to the n-th ratio A007305(n+1)/A047679(n-1) in the full Stern-Brocot tree and zero when it results a rational value. A65937