Properties of the Number 65545

Sixty-Five Thousand Five Hundred Forty-Five

Basics

Value: 65544 → 65545 → 65546

Parity: odd

Prime: No

Previous Prime: 65543

Next Prime: 65551

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 13109

Divisors: 1, 5, 13109, 65545

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000000001001

Octal: 200011

Duodecimal: 31B21

Hexadecimal: 10009

Square: 4296147025

Square Root: 256.0175775215444

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

a(n) is the smallest nonnegative integer such that the sum of any four ordered terms a(k), k<=n (repetitions allowed), is unique. A365300

a(n) = 2ⁿ + 9. A188165

Number of partitions into non-integral powers. A158

Sums of three Fermat numbers. A155877

Numerator of (0 followed by A005126(n)= 2, 4, 7, ...)/2ⁿ. A271573

Triangle, read by rows, T(n, k) = binomial(n, k) for n < 2 and binomial(n, k) + 4^n-1 * binomial(n-2, k-1) otherwise. A146988

Triangle T(n, k) = f(k, n-k+1) + f(n-k+1, k), where f(n, k) = round( ((1+sqrt(k))^2·n+1 - (1-sqrt(k))^2·n+1)/(2·sqrt(k))) - 1, read by rows. A173568

Bitmaps of king + rook vs. king checkmate patterns on a standard 8 X 8 board. A362950

Inverse binomial transform of A083590. A83592

Numbers k such that the value π(k), the number of primes <= k, can be obtained deleting some of the repeating adjacent digits of k. A113898