Properties of the Number 65538

Sixty-Five Thousand Five Hundred Thirty-Eight

Basics

Value: 65537 → 65538 → 65539

Parity: even

Prime: No

Previous Prime: 65537

Next Prime: 65539

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 11 × 331

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000000000010

Octal: 200002

Duodecimal: 31B16

Hexadecimal: 10002

Square: 4295229444

Square Root: 256.00390622019813

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 + 2. A52548

Numbers that are the sum of 3 nonzero 8th powers. A3381

1/4 the number of (n+1) X 4 0..2 arrays with every 2 X 2 subblock having distinct clockwise edge differences. A209722

Sum of divisors of 2ⁿ+1. A69061

List of integers m>0 with m-1 and m+1 both prime, and m-2, m, m+2 all practical. A209236

Number of ways of 3-coloring an annulus consisting of n zones joined like a pearl necklace. A92297

Base-3 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-3 digits, for some k. A162216

Base 9 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-9 digits, for some k. A162234

Sum of the divisors of 4ⁿ+1. A366607

Numbers of the form m = 2ⁱ + 2^j, where i > j >= 0, such that m - 1 is prime. A239708