1002008

1002008 is a positive integer that appears in mathematical contexts as a test case for factorization and divisor studies. It is even and composite.

Its prime factorization is 2^3 × 7 × 29 × 617, which can be derived from successive divisions by small primes: 1002008 = 8 × 125251, with 125251 = 7 × 17893 and 17893 = 29 × 617. Consequently the number has 32 positive divisors.

1002008 in base 16 is F4A18, and in base 2 it is 11110100101000011000. This illustrates how a decimal value maps to compact hexadecimal and binary representations, often used in computing contexts.

Geographically or historically, 1002008 does not denote a widely recognized year or event. It may appear as a numeric identifier in catalogs, serial numbers, or data records, but it has no notable public significance on its own.

The factorization shows the number is composed of a higher power of two combined with several odd primes, a pattern that can be instructive in introductory number theory, particularly for illustrating divisor counts and factor structure.