6461

6461 is a natural number that lies between 6460 and 6462. In mathematics, it is notable as a composite, square-free integer with three distinct prime factors.

Its prime factorization is 6461 = 7 × 13 × 71. Accordingly, its positive divisors are 1, 7, 13, 71, 91, 497, 923, and 6461. Because it is a product of three distinct primes, 6461 is considered a 3-almost prime.

As an odd, non-prime integer with a small set of prime factors, 6461 is sometimes cited in discussions of factorization and modular arithmetic as an example of a product of three primes. It is not a perfect power and has no repeated prime factors, making it square-free.

In contexts outside pure mathematics, the number 6461 may appear in catalog numbers, identification codes, or model numbers. However, there is no widely recognized historical event, object, or standard specifically associated with the number 6461.