Find the sum of the distinct prime factors of 5005 + 6192 + 11823.

1 answer

First, we need to find the prime factorization of each number:

5005 = 5 * 7 * 11 * 13
6192 = 2^4 * 3 * 7 * 29
11823 = 3 * 7 * 13 * 19

Next, we add up the distinct prime factors:

5 + 7 + 11 + 13 + 2 + 3 + 29 + 19 = 89

Therefore, the sum of the distinct prime factors of 5005 + 6192 + 11823 is 89.