5080

5080 is a positive integer in the base-10 numeral system. It is even and composite, with several divisors beyond 1 and itself. In mathematical contexts, it is commonly examined for its factorization and arithmetic properties.

Its prime factorization is 2^3 × 5 × 127, since 5080 = 8 × 5 × 127. Consequently the positive divisors are: 1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, and 5080, totalling 16 divisors.

From the divisor sum, the sum of proper divisors is 6440, which exceeds 5080. Therefore 5080 is classified as an abundant number, a category of integers whose proper divisors sum to more than the number itself.

Because 5080 is divisible by 2^3, 5, and 127, it is a multiple of 40 and 127, and has divisors throughout its factorization. It is not a prime number, by definition, since it has factors other than 1 and itself.

As a calendar year, 5080 CE would be a leap year in the proleptic Gregorian calendar, since it is divisible by 4 but not by 100. In practical terms this means February would have 29 days in that year if the proleptic Gregorian framework is used.