7291

7291 is a natural number that follows 7290 and precedes 7292. In mathematics, it is notable for being a semiprime, meaning it is the product of exactly two prime numbers. Its prime factorization is 23 × 317, so the positive divisors of 7291 are 1, 23, 317, and 7291. Consequently, 7291 is composite but not a prime, and it is not a perfect square or cube.

In base representations, 7291 can be expressed as 1110001111011 in binary, and as 0x1C7B in hexadecimal. In octal notation it is 16173_8.

Additional context and applications: semiprimes like 7291 are of interest in elementary number theory as simple examples of composites with exactly two prime factors. They are sometimes used to illustrate the concept of unique factorization and to demonstrate basic factorization techniques. The factors 23 and 317 are themselves primes, with 317 being a relatively small prime that is not a factor of many smaller numbers, highlighting how semiprimes can be formed from primes of different sizes.

Overall, 7291 serves as a concrete example of a semiprime in discussions of factorization, divisibility, and base-n representations.