Properties of the Number -16383

Sixteen Thousand Three Hundred Eighty-Three

Basics

Value: -16384 → -16383 → -16382

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

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) = (-1)ⁿ * (1 - 2ⁿ). A225883

a(n) = 1 - n⁷. A24005

Odd-indexed terms of the binomial transform equals 1 and the even-indexed terms of the second binomial transform equals 1. A90158

Triangle T(n, k) = c(n, q)/c(k, q) if k <= floor(n/2), otherwise c(n, q)/c(n-k, q), where c(n, q) = ∏_j=1..n (1 - q^j) and q = 4, read by rows. A174389

a(n) = 1 - n²*2ⁿ. A168298

G.f.: ∑_n=-oo..+oo xⁿ * (1 - 2ⁿ*xⁿ)ⁿ. A258936

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