Answer:
25
Step-by-step explanation:
You want the sum of the distinct prime divisors of the sum of the positive divisors of 500.
Divisors of 500
The prime factorization of 500 is ...
500 = 2²·5³
so there are (2+1)(3+10 = 12 positive integer divisors:
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The sum of these divisors is 1092.
Divisors of 1092
The prime factorization of 1092 is ...
1092 = 2²·3·7·13
so the sum of interest is ...
2 +3 +7 +13 = 25
The sum of interest is 25.
