8636

8636 is a natural number that follows 8635 and precedes 8637. It is an even and composite number.

Its prime factorization is 2^2 × 17 × 127, which shows that 8636 has 12 positive divisors. The full set of divisors is 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, and 8636. Consequently, 8636 is divisible by 4, 17, and 127, among other combinations of these factors.

In terms of divisor functions, the sum of all divisors (including itself) is 16,128, so the sum of proper divisors is 7,492. This makes 8636 a deficient number, since the sum of its proper divisors is less than the number itself. The Euler totient function yields φ(8636) = 4,032, meaning there are 4,032 integers up to 8,636 that are relatively prime to 8,636.

Representations in other bases include binary and hexadecimal. In binary, 8636 is 10000110111100, and in hexadecimal it is 0x21BC.

As a four-in-the-prime-factor product, 8636 belongs to the set of integers with multiple distinct prime factors and lies well within common ranges for mathematical examples and numeric demonstrations.