Properties of the Number 16384

Sixteen Thousand Three Hundred Eighty-Four

Basics

Value: 16383 → 16384 → 16385

Parity: even

Prime: No

Previous Prime: 16381

Next Prime: 16411

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ¹⁴

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000000000000

Octal: 40000

Duodecimal: 9594

Hexadecimal: 4000

Square: 268435456

Square Root: 128

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: No

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

Powers of 4: a(n) = 4ⁿ. A302

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

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

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

a(n) = smallest integer with factorization as Product p(i)^e(i) such that Product p(e(i)) = n. A181821