6349

6349 is a natural number that follows 6348 and precedes 6350. In mathematics, it is a composite number with the prime factorization 6349 = 7 × 907, where 7 and 907 are both prime. Accordingly, its positive divisors are 1, 7, 907, and 6349, and the sum of these divisors is 7264. The number has four positive divisors in total.

As a result of its odd prime factorization, 6349 can be expressed as a sum of consecutive integers. For example, it equals the sum of seven consecutive integers: 904 + 905 + 906 + 907 + 908 + 909 + 910 = 6349. More generally, a number with odd divisors admits representations as sums of consecutive integers corresponding to those divisors; for 6349 the relevant lengths are 1, 7, 907, and 6349 (the latter two involve longer sequences that extend into negative integers if required).

In other contexts, 6349 is primarily regarded as a numerical value within arithmetic and number theory. Its factorization into two primes places it among the simple semiprimes, and its divisor structure leads to basic properties such as the count of divisors and divisor sums, which are straightforward to compute from its prime factors.

---