9515

9515 is a natural number that follows 9514 and precedes 9516. In mathematics, it is a composite number with a square-free prime factorization: 9515 = 5 × 11 × 173. Because its prime factors are distinct, 9515 has exactly eight positive divisors: 1, 5, 11, 55, 173, 865, 1903, and 9515. The number is thus square-free and has divisor count d(n) = 2^3 = 8.

The sum of all divisors of 9515 is σ(9515) = (1 + 5) × (1 + 11) × (1 + 173) = 6 × 12 × 174 = 12,528. Therefore the sum of proper divisors is 12,528 − 9,515 = 5,013. Since this is less than 9,515, 9515 is a deficient number.

In other representations, 9515 = 0x252B in hexadecimal and is 10010100101011 in binary (14 bits). It is divisible by 5 and by 11 (since 9515 = 5 × 11 × 173, and 173 is also prime), with the remaining factor 173 completing the product.

Additional properties include its digit sum of 9 + 5 + 1 + 5 = 20 (digital root 2) and its odd parity. As a product of three distinct primes, 9515 is also a simple example of a composite, square-free integer used to illustrate divisor structure, modular arithmetic, and base representations.