4808

4808 is an integer in the natural number system, located between 4807 and 4809. It is an even composite number with prime factorization 2^3 × 601, meaning it is divisible by 8 and by 601, but not by 3 or 5.

In number theory, 4808 can be expressed as a sum of two squares: 4808 = 58^2 + 38^2. This representation aligns with Fermat’s theorem on sums of two squares, since 601 ≡ 1 mod 4 and the factor 2^3 contributes a power of two to the product.

Beyond pure mathematics, 4808 commonly appears as an identifier in various systems, such as product codes, inventory numbers, or postal or territorial codes. As a four-digit component of longer identifiers, it serves as a distinct label without implying a specific meaning on its own.

In educational contexts, 4808 may be used as an example to illustrate factorization, representations as sums of squares, and modular properties. Its factorization and square-sum representation make it a straightforward case study for introductory topics in number theory.