17057

17057 is a natural number that lies between 17056 and 17058. In number theory it is a composite number known as a semiprime, since it factors into exactly two primes.

The prime factorization of 17057 is 37 × 461, with both factors being primes. Each prime is congruent to 1 modulo 4 (37 ≡ 1 mod 4 and 461 ≡ 1 mod 4), a property that has implications for expressing the number as a sum of two squares.

Indeed, 17057 can be expressed as a sum of two squares in two distinct ways: 17057 = 124^2 + 41^2 and 17057 = 104^2 + 79^2. These representations arise from the classical sum-of-two-squares theorem for products of primes of the form 4k+1.

In binary, 17057 is 1000010101000001. The decimal digits sum to 20, giving a digital root of 2, and the number is odd.

As a semiprime with two 4k+1 prime factors, 17057 occupies a notable position in discussions of representations of numbers as sums of two squares, and it serves as a concrete example of how factorization influences such representations. Beyond these mathematical properties, 17057 does not have widely recognized associations in other domains.