10001500

10001500 is a natural number in base ten, located between 10001499 and 10001501 on the integer number line. As a whole number, it is even and composite.

Prime factorization and divisibility properties follow from its factorization as 10,001,500 = 100 × 100,015 = 2^2 × 5^3 × 83 × 241. This confirms divisibility by 4 and by 500, since 100,015 = 5 × 83 × 241 and 100 = 2^2 × 5^2. The factorization shows that 10,001,500 is not divisible by 3 or by 9, as the sum of its digits is 7.

The number of positive divisors of 10,001,500 is 48, derived from its prime exponents via (2+1) × (3+1) × (1+1) × (1+1). The sum of its positive divisors is 22,198,176, calculated from the multiplicative property of the divisor function: (2^3−1)/(2−1) × (5^4−1)/(5−1) × (83^2−1)/(83−1) × (241^2−1)/(241−1) = 7 × 156 × 84 × 242.

In common usage, 10,001,500 serves as a numerical label or identifier in data contexts, rather than as a number with widely recognized mathematical or historical significance. As with many large integers, its primary notable attributes are its arithmetic structure and factorization. If a specific context or domain is intended for “10001500,” additional details would help tailor the article.