4628

4628 is the natural number that comes after 4627 and before 4629. In mathematics, it is an even composite number. Its prime factorization is 2^2 × 13 × 89, which means it has 12 positive divisors: 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, and 4628. The factorization also shows that 4628 is not squarefree because of the repeated factor 2^2.

In different numeral systems, 4628 can be represented as:

- Binary: 1001000010100

- Hexadecimal: 0x1214

Modular arithmetic reveals some simple remainders: 4628 ≡ 2 (mod 3) and 4628 ≡ 3 (mod 5). The prime factors include Fibonacci numbers 13 and 89, which is a small but notable observation linking the number to a well-known sequence.

As a plain integer, 4628 does not have widely recognized historical, cultural, or scientific significance beyond its mathematical properties. It serves as an example of a non-prime, non-square number with a straightforward factorization and several simple representations.