9708

9708 is a positive integer that follows 9707 and precedes 9709. It is an even, composite number with a straightforward prime factorization: 9708 = 2^2 × 3 × 809, where 809 is a prime number. This factorization shows that 9708 has 12 positive divisors: 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, and 9708.

In arithmetic terms, the Euler totient of 9708 is φ(9708) = 3232, and the sum of its positive divisors is σ(9708) = 22680. The number is divisible by 12, since 9708 = 12 × 809.

Representations of 9708 in different bases include binary, hexadecimal, and octal: 9708 in binary is 1111000011100_2, in hexadecimal it is 0x25EC, and in octal it is 22754_8. The decimal digit sum is 9 + 7 + 0 + 8 = 24, giving a digital root of 6.

As a member of the natural numbers, 9708 serves as an example in various mathematical contexts, such as divisor structure, base conversions, and arithmetic properties. Its factorization into a square (2^2) and two odd prime factors (3 and 809) highlights common patterns in composite numbers and illustrates how the prime composition determines divisor counts and related arithmetic functions.