9675

9675 is a natural number that follows 9674 and precedes 9676. It is a four‑digit, composite integer with several notable arithmetic properties.

Its prime factorization is 3^2 × 5^2 × 43, making it divisible by 3, 5, 9, 15, 25, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, and 9675, among others. In total, 9675 has 18 positive divisors. The number is odd, and it is also a multiple of 9 and of 45, reflecting its 3^2 and 5^2 components. The square root of 9675 is about 98.4, so its prime factors are all below that threshold.

In different numeral bases, 9675 can be represented as follows: in binary it is 10010111001011_2; in hexadecimal it is 0x25CB; and in octal it is 22713_8. The sum of its decimal digits is 9 + 6 + 7 + 5 = 27, which is a multiple of 9, so the number itself is divisible by 9 (9675 ÷ 9 = 1075).

The number can be expressed as a sum of consecutive integers in several ways. Since 9675 is divisible by odd numbers, it can be written as the sum of n consecutive integers for any odd divisor n of 9675, such as n = 3, 5, 9, 15, 25, or 45, among others. This follows from the general property that a number equal to n times a middle term can be represented as such a sequence when n is odd.

Overall, 9675 is a four-digit composite with a rich divisor structure and multiple base representations.