Properties of the Number 8192

Eight Thousand One Hundred Ninety-Two

Basics

Value: 8191 → 8192 → 8193

Parity: even

Prime: No

Previous Prime: 8191

Next Prime: 8209

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ¹³

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

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Representations

Binary: 10000000000000

Octal: 20000

Duodecimal: 48A8

Hexadecimal: 2000

Square: 67108864

Square Root: 90.50966799187809

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Powers of 2: a(n) = 2ⁿ. A79

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

Unary-encoded compressed factorization of natural numbers. A156552

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

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

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

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

Prime powers p^e where p is a prime and e >= 2 (prime powers without the primes or 1). A246547

Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left). A29447