500800

500800 is an even six-digit integer in base-10 notation. In mathematics, it is a positive composite number that can appear in discussions of number theory and combinatorics.

Its prime factorization is 2^6 × 5^2 × 313, showing that 500800 is divisible by 2 and by 5, and that its largest power of 2 dividing it is 2^6. Because of this factorization, the number has multiple divisors arising from combinations of these primes.

As a consequence, 500800 has 42 positive divisors, since the number of divisors for a product of prime powers is the product of one more than each exponent: (6+1) × (2+1) × (1+1) = 7 × 3 × 2 = 42. The digit sum is 13, so it is not divisible by 3 or 9. It is divisible by 25 (due to the 5^2 factor) but not by 125 (which would require 5^3). In hexadecimal notation, 500800 is represented as 0x7A440.

In practical contexts, such numbers may appear as catalog numbers, model identifiers, or postal/ZIP-like codes in systems that use six-digit identifiers. They can also serve as example values in mathematical or computational exercises, such as tests of divisor-related algorithms or numeric processing routines.

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