Properties of the Number 32767

Thirty-Two Thousand Seven Hundred Sixty-Seven

Basics

Value: 32766 → 32767 → 32768

Parity: odd

Prime: No

Previous Prime: 32749

Next Prime: 32771

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 31 × 151

Divisors: 1, 7, 31, 151, 217, 1057, 4681, 32767

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111111111111

Octal: 77777

Duodecimal: 16B67

Hexadecimal: 7fff

Square: 1073676289

Square Root: 181.01657382681842

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

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

Half the number of n X 16 binary arrays with a path of adjacent 1's and a path of adjacent 0's from top row to bottom row. A69416

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

Jacobsthal-Lucas numbers. A14551

a(n) = 2·4ⁿ - 1. A83420

a(n) = 2ⁿ⁺¹ - 1. A126646

a(n) = n³ - 1. A68601