5356

5356 is a natural number that sits between 5355 and 5357. It is an even composite number, and it has several straightforward arithmetic properties that can be illustrated by its factorization and divisors.

The prime factorization of 5356 is 2^2 × 13 × 103. Accordingly, 5356 has 12 positive divisors: 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, and 5356. The last two digits being 56 confirms its divisibility by 4, consistent with the factor 2^2 in its prime factorization. The number is not a perfect square or cube; it lies between 73^2 = 5329 and 74^2 = 5476.

In terms of modular arithmetic and representations, 5356 is congruent to 1 modulo 3 and modulo 9, since its digit sum is 5 + 3 + 5 + 6 = 19, which reduces to 1. A notable number-theory property is that 5356 cannot be expressed as a sum of two squares because it has a prime factor congruent to 3 modulo 4 (103) with odd exponent in its factorization.

Beyond pure number theory, 5356 is sometimes used as a numeric identifier in various catalogs, models, or datasets. In mathematical education, it serves as a representative example of an even, composite four-digit number with multiple prime factors.