Properties of the Number 65001

Sixty-Five Thousand One

Basics

Value: 65000 → 65001 → 65002

Parity: odd

Prime: No

Previous Prime: 64997

Next Prime: 65003

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 47 × 461

Divisors: 1, 3, 47, 141, 461, 1383, 21667, 65001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110111101001

Octal: 176751

Duodecimal: 31749

Hexadecimal: fde9

Square: 4225130001

Square Root: 254.95293683344775

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 length n+5 0..2 arrays with at most one downstep in every n consecutive neighbor pairs. A255112

Odd Fibonacci pseudoprimes: odd composite numbers k such that either (1) k divides Fibonacci(k-1) if k == +-1 (mod 5) or (2) k divides Fibonacci(k+1) if k == +-2 (mod 5). A81264

a(n) = (presumed) number of palindromes in the 'Reverse and Add!' trajectory of n, or -1 if this number is not finite. A65001

Relative of Hofstadter Q-sequence: a(n) = max(0, n+32478) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A274058