17488

17488 is a natural number that follows 17487 and precedes 17489. It is an even composite number with a prime factorization of 17488 = 2^4 × 1093.

Mathematical properties can be derived from its factorization. The ten positive divisors of 17488 are 1, 2, 4, 8, 16, 1093, 2186, 4372, 8744, and 17488. In various bases, 17488 is represented as follows: binary 100010001010000, hexadecimal 0x4450, and octal 42120.

In number theory, 1093 is a prime number known for its role as a base-2 Wieferich prime, meaning 2^(1092) ≡ 1 (mod 1093^2). Because 17488 = 16 × 1093, this connection gives 17488 an indirect relation to that special prime property through its factor 1093.

As an integer, 17488 may appear in mathematical contexts such as sequences involving multiples of 1093 or powers of two, and it serves as a concrete example of a number with a small power of two factor times a larger prime. There are no widely noted historical, cultural, or widely recognized scientific events specifically tied to 17488.