16383

16383 is a natural number that comes after 16382 and before 16384. In decimal notation it is written as 16383. Its binary representation is 11111111111111, a string of 14 ones. In hexadecimal it is 0x3FFF, and in octal it is 037777 (or 0o37777).

Mathematically, 16383 is 2^14 − 1. It is not a prime number; its prime factorization is 3 × 43 × 127. This reflects the standard factorization of 2^n − 1 when n is composite: 2^14 − 1 = (2^7 − 1)(2^7 + 1) = 127 × 129, and 129 = 3 × 43. Consequently, 16383 is a composite Mersenne-related number, since the exponent 14 is not prime.

In computing and digital systems, 16383 is notable as the maximum value representable with 14 bits in unsigned form. As such, it frequently appears as a bitmask value with all 14 bits set to 1, or as a boundary in software and hardware fields that use 14-bit allocation. For example, the 14-bit mask 0x3FFF corresponds to this maximum, making 16383 a common reference point in discussions of fixed-width data words and bitwise operations.

See also: 2^n − 1 numbers, Mersenne numbers, bitmask.