Properties of the Number 32768

Thirty-Two Thousand Seven Hundred Sixty-Eight

Basics

Value: 32767 → 32768 → 32769

Parity: even

Prime: No

Previous Prime: 32749

Next Prime: 32771

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ¹⁵

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1000000000000000

Octal: 100000

Duodecimal: 16B68

Hexadecimal: 8000

Square: 1073741824

Square Root: 181.01933598375618

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Powers of 2: a(n) = 2ⁿ. A79

The cubes: a(n) = n³. A578

Coefficients of expansion of (1-x)/(1-2·x) in powers of x. A11782

Unary-encoded compressed factorization of natural numbers. A156552

a(n) = 2^n*(n-1/2). A6125

Self-inverse permutation of the positive integers induced by partition enumeration in A112798 and partition conjugation. A122111

If n = p_i^e_i * ... * p_k^e_k, p_i < ... < p_k primes (with p_i = prime(i)), then a(n) = (1/2) * (e_i * 2ⁱ + ... + e_k * 2^k). A48675

Product of divisors of n. A7955

a(n) = 2^floor(n/2). A16116

Fifth powers: a(n) = n⁵. A584