The arithmetic derivative D(n) of a positive integer n is defined via the following rules:
- D(1)=0
- D(p)=1 for all primes p;
- D(a b)=D(a) b+a D(b) for all positive integers a and b.
Find the sum of all positive integers n below 1000 satisfying D(n)=n.
The arithmetic derivative D(n) of a positive integer n is defined via the following rules:
Find the sum of all positive integers n below 1000 satisfying D(n)=n.