16252

16252 is a natural number that follows 16251 and precedes 16253. It is an even, composite integer with the prime factorization 2^2 × 17 × 239. Consequently, its divisors are 1, 2, 4, 17, 34, 68, 239, 478, 956, 4063, 8126, and 16252. The sum of its digits is 16, indicating it is not divisible by 3 or 9. The number lies between the squares 127^2 = 16129 and 128^2 = 16384, so it is not a perfect square. The total number of positive divisors is 12, as given by multiplying (exponent+1) terms: (2+1)(1+1)(1+1) = 12.

In modular arithmetic, 16252 is 0 modulo 4 and 0 modulo 2, reflecting its even and multiple-of-4 nature. Not representable as a sum of two squares, because 239 is a prime congruent to 3 mod 4 appearing to the first power in its factorization. This property highlights a standard criterion in number theory: a positive integer is a sum of two squares if and only if every prime congruent to 3 mod 4 appears with an even exponent in its prime factorization.

In mathematics, 16252 is sometimes used as an example when illustrating the divisor function, prime factorization, or properties of even composite numbers. There is no widely known historical event or object uniquely associated with the number itself. In other contexts, 16252 may appear as a catalog, model, or identification number, but this article focuses on the integer itself.