Properties of the Number 8191

Eight Thousand One Hundred Ninety-One

Basics

Value: 8190 → 8191 → 8192

Parity: odd

Prime: Yes

Previous Prime: 8179

Next Prime: 8209

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 8191

Divisors: 1, 8191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111111111

Octal: 17777

Duodecimal: 48A7

Hexadecimal: 1fff

Square: 67092481

Square Root: 90.50414355155237

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

Mersenne primes (primes of the form 2ⁿ - 1). A668

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

Mersenne numbers: 2^p - 1, where p is prime. A1348

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

Primes of the form 1 + n + n² + n³ + ... + n^k, n > 1, k > 1. A85104

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

Jacobsthal-Lucas numbers. A14551

Number of different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n. A34891