Properties of the Number 65613

Sixty-Five Thousand Six Hundred Thirteen

Basics

Value: 65612 → 65613 → 65614

Parity: odd

Prime: No

Previous Prime: 65609

Next Prime: 65617

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 21871

Divisors: 1, 3, 21871, 65613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000001001101

Octal: 200115

Duodecimal: 31B79

Hexadecimal: 1004d

Square: 4305065769

Square Root: 256.1503464764395

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

Numbers k such that binomial(3k, k) - 1 is prime. A125220

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of {(i+j)*min(i,j)} (A203990). A203991

a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ). A11937

Expansion of ∏_k>=1 1/((1+x^k)*(1-x^k)⁴). A262380

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, 1, 1), (1, 0, 0), (1, 0, 1)}. A151079

a(n) = floor(log(n)*2ⁿ/n). A65613