8750

8750 is a natural number that lies between 8749 and 8751. It is even and composite, and its prime factorization reveals its structure.

Prime factorization: 8750 = 2 × 5^4 × 7. From this factorization, the number has 20 positive divisors. The divisors are: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750.

In other bases, 8750 has the following representations: binary 10001000101110, octal 21056, and hexadecimal 0x222E.

In number theory terms, 8750 has Euler’s totient φ(8750) = 3000 and the sum of its divisors σ(8750) = 18744. The digit sum of 8750 is 8 + 7 + 5 + 0 = 20, which means the number is not a Harshad number in base 10. Its ending in 0 reflects its factor 2 × 5, making it divisible by 10.

8750 is primarily of interest as an example of a composite integer with a multi-prime factorization that yields a relatively large number of divisors for its size. It is used in mathematical contexts to illustrate divisor counts, base representations, and related arithmetic properties.