17297

17297 is a natural number that lies between 17296 and 17298. It is an odd integer in the decimal system.

In terms of prime factorization, 17297 equals 7^2 multiplied by 353, i.e., 17297 = 7^2 × 353. This factorization shows that the number is composite, and its positive divisors are 1, 7, 49, 353, 2471, and 17297.

17297 is also expressible as a sum of two squares: 17297 = 119^2 + 56^2. This representation is consistent with its prime factorization, since 353 = 17^2 + 8^2 and 49 = 7^2 + 0^2, and the product of sums of two squares yields another sum of two squares.

The number is congruent to 1 modulo 4, as 17297 ≡ 1 (mod 4). This aligns with its prime factorization, where primes congruent to 3 modulo 4 appear with even exponents.

As a mathematical object, 17297 exemplifies standard properties of integers: it is composite with a small set of divisors, can be written as a sum of two squares, and fits common modular arithmetic patterns.