6548

6548 is a natural number that follows 6547 and precedes 6549. It is an even, composite number and often is considered in elementary and intermediate number theory for its factorization and representations.

Its prime factorization is 2^2 × 1637, where 1637 is a prime number. This confirms that 6548 is divisible by 4 but not by 8. The digit sum of 6548 is 6 + 5 + 4 + 8 = 23, so the number is not divisible by 3, and it is not divisible by 5 or 9.

6548 has representations as a sum of two squares. One explicit representation is 6548 = 62^2 + 52^2, since 62^2 = 3844 and 52^2 = 2704, and their sum is 6548. This aligns with the general property that a number of the form 2^a × p with p ≡ 1 (mod 4) prime can be expressed as a sum of two squares.

In other common arithmetic senses, 6548 is congruent to 0 modulo 4 and 2 modulo 3, reflecting its divisibility and residue characteristics. Beyond these standard mathematical properties, 6548 does not have a widely recognized individual significance and is typically encountered as an ordinary four-digit integer used in various numerical contexts.