8368

8368 is a natural number that comes after 8367 and before 8369. In mathematics, it is an even composite number with prime factorization 8368 = 2^4 × 523, where 523 is a prime.

Its positive divisors are 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, and 8368. The sum of its proper divisors is 7876, which is less than 8368, so the number is deficient (not perfect and not abundant). It is divisible by 16, since 8368/16 = 523, and it is not a prime or a higher perfect power.

In hexadecimal, 8368 equals 0x20B0; in binary, it is 0010000010110000.

In number theory, 8368 cannot be expressed as a sum of two squares because its prime factorization includes 523, a prime congruent to 3 modulo 4, raised to an odd exponent. This reflects a general rule: a number is a sum of two squares only if all primes congruent to 3 mod 4 have even exponents in its factorization.