5629

5629 is a natural number that follows 5628 and precedes 5630. It is an odd integer and sits in the large sequence of positive integers used in arithmetic and number theory.

In prime factorization, 5629 = 13 × 433. This makes the number composite and, more specifically, a semiprime (a product of exactly two prime numbers). Its positive divisors are 1, 13, 433, and 5629. As a result, 5629 is not prime but has a simple divisor structure.

Because its prime factors are both congruent to 1 modulo 4, 5629 can be expressed as a sum of two squares. Indeed, 5629 = 75^2 + 2^2. This representation aligns with the general criterion that a number whose prime factors are all congruent to 1 modulo 4 can be written as a sum of two squares.

In modular arithmetic, 5629 satisfies several simple congruences: it is congruent to 1 modulo 3 (since the sum of its digits is 22, which leaves a remainder of 1 when divided by 3) and also congruent to 1 modulo 4 (the last two digits form 29, which is 1 modulo 4).

Beyond pure mathematics, 5629 is used as an identifying number in various catalogs and records, including potential minor-planet designations and serial numbers in product catalogs. As with many such integers, it serves as a reference label rather than carrying intrinsic universal meaning.