#include <cstdio>
#define MOD 1000000007
typedef long long LL;
LL euler(LL n)
{
    LL i; 
    LL eu= n;
    for(int i=2; i*i <= n; i++)
    {
        if(n%i ==0)
        {
            eu= eu*(i-1) /i;
            while(n %i==0)
                n/= i;
        }
    }
    if(n >1) eu= eu* (n-1) /n;
    return eu;
}
int main()
{
    LL n;
    while(scanf("%lld", &n), n)
    {
        LL ans= n&1? (n+1)/2*n : n/2*(n+1);
        ans= ans- euler(n) *n/2;
        printf("%lld\n", (ans-n)%MOD);
    }
    return 0;
}