Properties of the Number 65535

Sixty-Five Thousand Five Hundred Thirty-Five

Basics

Value: 65534 → 65535 → 65536

Parity: odd

Prime: No

Previous Prime: 65521

Next Prime: 65537

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 17 × 257

Divisors: 1, 3, 5, 15, 17, 51, 85, 255, 257, 771

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111111111111

Octal: 177777

Duodecimal: 31B13

Hexadecimal: ffff

Square: 4294836225

Square Root: 255.99804686754936

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) = 2ⁿ - 1. (Sometimes called Mersenne numbers, although that name is usually reserved for A001348.) A225

Number of 2n-bead balanced binary necklaces of fundamental period 2n, equivalent to reversed complement; also Dirichlet convolution of b_n=2^n-1 with μ(n); also number of components of Mandelbrot set corresponding to Julia sets with an attractive n-cycle. A740

Numbers of the form 2^n-1*(2^n·m-1)/(2ⁿ-1), n >= 1, m >= 1. A272919

Sierpiński's triangle (Pascal's triangle mod 2) converted to decimal. A1317

a(1) = 0; for n > 1, a(n) = A000203(A156552(n)). A323243

Permutation of nonnegative integers: a(1) = 0, a(2) = 1, a(2n) = 2·a(n), a(2n+1) = 1 + 2·a(A064989(2n+1)). A243071

a(2n) = 2·2ⁿ - 1, a(2n+1) = 3·2ⁿ - 1. A52955

Numbers k such that φ(k) = φ(k+1). A1274

a(n) = 4ⁿ - 1. A24036

a(n) = 2ⁿ⁺¹ - 1. A126646