Properties of the Number 16383

Sixteen Thousand Three Hundred Eighty-Three

Basics

Value: 16382 → 16383 → 16384

Parity: odd

Prime: No

Previous Prime: 16381

Next Prime: 16411

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 43 × 127

Divisors: 1, 3, 43, 127, 129, 381, 5461, 16383

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111111111111

Octal: 37777

Duodecimal: 9593

Hexadecimal: 3fff

Square: 268402689

Square Root: 127.99609369039354

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

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

a(n) = 4ⁿ - 1. A24036

a(n) = 2ⁿ⁺¹ - 1. A126646

a(n) = 2ⁿ + (-1)ⁿ⁺¹. A62510

Expansion of 1/((1 - x)*(1 - 2·x²)). A52551

a(0) = 1; a(n) = a(n-1)+1 if n is even, otherwise a(n) = 2·a(n-1). A75427