Suma puterilor in descompunerea in factori primi

#include <iostream>
using namespace std;

int main()
{
    int n, p, d=2, s=0;
    cout<<"n="; cin>>n;
    while(n!=1)
    {
        p=0;
        while(n%d==0)
        {
            p++;
            n=n/d;
        }
        if(p!=0)
        s=s+p;
        d++;
    }
    cout<<s;
    return 0;
}