4609

4609 is a positive integer that lies between 4608 and 4610. In number theory, it is notable for being a semiprime, meaning it is the product of exactly two primes. Its prime factorization is 11 × 419, where 419 is prime, giving four positive divisors: 1, 11, 419, and 4609. As a product of two distinct primes, 4609 is squarefree and composite.

In various base representations, 4609 has compact forms: in binary it is 1001000000001, in octal it is 11001, and in hexadecimal it is 0x1201. These representations reflect its decomposition into powers of two, as 4609 equals 2^12 + 2^9 + 2^0. Consequently, 4609 is congruent to 1 modulo 8.

Other context: as a semiprime, 4609 is often cited in introductory discussions of factorization and primality, illustrating how a composite number can consist of exactly two prime factors. It does not have any widely known special mathematical properties beyond its factorization and its distinct base representations.

See also: semiprime, prime factorization, numeral bases.