5251

5251 is a natural number that follows 5250 and precedes 5252. In mathematics, it is notable for being a semiprime, meaning it is the product of two prime numbers.

Its prime factorization is 5251 = 59 × 89, with both factors being prime. This makes 5251 an odd, composite number. The Euler totient of 5251 is φ(5251) = (59 − 1) × (89 − 1) = 58 × 88 = 5104. As a semiprime, 5251 has exactly four positive divisors: 1, 59, 89, and 5251.

In common numeral systems, 5251 is represented as follows: in binary it is 10100100000011₂, in hexadecimal it is 0x1483, and in octal it is 0o12203.

In number theory, semiprimes like 5251 are studied for their factorization properties and their role in integer factorization algorithms. They also occur in various areas of cryptography and combinatorial constructions, where the factorization structure can be relevant.

Overall, 5251 is a small composite number whose primary mathematical interest lies in its status as the product of two primes and its representation across different bases. See also semiprime and prime factorization for related concepts.