27001500

27001500 is a positive integer in decimal notation, written as 27,001,500. In number theory it is studied as a composite and highly factorable value with several notable properties.

Its prime factorization is 27001500 = 2^2 × 3 × 5^3 × 47 × 383. This decomposition shows that the number has five distinct prime factors, including two relatively small primes (2 and 3) and two larger primes (47 and 383). The exponents (2, 1, 3, 1, 1) yield a total of (2+1) × (1+1) × (3+1) × (1+1) × (1+1) = 96 positive divisors. As a result, 27001500 is not only composite but also has a relatively large divisor set for its size.

The number is divisible by 4 (due to 2^2) and by 125 (due to 5^3), and it is also divisible by 3 and by 15. It can be expressed as 27001500 = 270015 × 100, highlighting its connection to a smaller multiplicative structure.

In terms of divisor sums, the sum of all positive divisors of 27001500 is 80,510,976, giving a sum of proper divisors of 53,509,476. Because this sum exceeds the number itself, 27001500 is an abundant number.

Contextually, 27001500 serves as an illustrative example in discussions of factorization, divisor counts, and abundance. Its combination of small and large prime factors makes it useful for exploring divisor-related properties in integer theory.