16382

16382 is a positive integer that follows 16381 and precedes 16383. It is an even semiprime, being the product of two primes: 16382 = 2 × 8191. The factor 8191 is itself prime and is a Mersenne prime (2^13 − 1), making 16382 a product of a small prime and a notable large prime.

As a consequence of its factorization, the divisors of 16382 are exactly 1, 2, 8191, and 16382. The Euler totient function for this number is φ(16382) = (2 − 1) × (8191 − 1) = 8190. The sum of proper divisors is 1 + 2 + 8191 = 8194, so 16382 is a deficient number (the sum of its proper divisors is less than the number itself).

In common representations, 16382 equals 0x3FFE in hexadecimal and is 11111111111110 in binary. It is also just two less than 2^14 (16384), providing a nearby reference to a power of two.

Because it is the product of two primes, including a Mersenne prime factor, 16382 is sometimes cited in discussions of semiprimes and prime-related properties in number theory. It is not a prime, and it does not have widespread historical or cultural associations beyond mathematical contexts.