6564

6564 is a natural number that follows 6563 and precedes 6565. In mathematics, it is an even composite number with prime factorization 2^2 × 3 × 547. This factorization implies it has 12 positive divisors: 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, and 6564. The number is divisible by 2, 3, 4, 6, and 12, and it can be expressed as 12 × 547 with 547 being a prime.

In arithmetic and number theory, 6564 lies in the intersection of multiples of 3 and multiples of 4 due to its factorization, reflecting its composite structure. The sum of its digits is 21, which confirms divisibility by 3 but not by 9. Its divisibility properties and divisor structure make it a straightforward example of a small composite number with a simple, nontrivial prime factorization.

Outside pure mathematics, 6564 may be encountered as an identifier, model number, or catalog code in various domains. However, there is no single widely recognized meaning or significance attached to the number beyond its mathematical properties and incidental uses as an identifier.