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#include <stdio.h>
int e[1000001];
int main(){
FILE *fin, *fout;
fin=fopen("fractii.in", "r");
fout=fopen("fractii.out", "w");
int i, n, j;
long long rez;
fscanf(fin, "%d", &n);
for(i=2; i<=n; i++){
e[i]=i;
}
for(i=2; i<=n; i++)
if(e[i]==i)
for(j=i; j<=n; j+=i)
e[j]=(e[j]/i)*(i-1);
rez=0;
for(i=2; i<=n; i++){
rez+=e[i];
}
rez*=2;
rez++;
fprintf(fout, "%lld\n", rez);
fclose(fin);
fclose(fout);
return 0;
}