Properties of the Number 65564

Sixty-Five Thousand Five Hundred Sixty-Four

Basics

Value: 65563 → 65564 → 65565

Parity: even

Prime: No

Previous Prime: 65563

Next Prime: 65579

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 37 × 443

Divisors: 1, 2, 4, 37, 74, 148, 443, 886, 1772, 16391

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000000011100

Octal: 200034

Duodecimal: 31B38

Hexadecimal: 1001c

Square: 4298638096

Square Root: 256.0546816599923

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

Number of n X 7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207681

Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207687

Number of n X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207677

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207682

Numbers k such that floor((4/3)^k+1)/floor((4/3)^k) = 4/3. A65564