#include <stdio.h>
#include <math.h>

int T, N, num, phi;
long long  R, sum;

int x[] = { 0, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317 };

int main()
{
	int t, i, lim, CN;

	freopen("sum.in", "r", stdin);
	freopen("sum.out", "w", stdout);

	scanf("%d", &T);
	for (t = 1; t <= T; t++)
	{
		scanf("%d", &N);

		phi = N;
		lim = sqrt(N);
		CN = N;

		for ( i = 1; x[i] <= lim && CN > 1; i++)
			if ( CN % x[i] == 0)
			{
				phi = phi / x[i];
				phi = phi * ( x[i] - 1);
				while ( CN > 1 && CN % x[i] == 0)
					CN /= x[i];
			}
		if ( CN > 1)
		{
			phi = phi / CN;
			phi = phi * (CN - 1);
		}

		if ( N % 2 == 0)
			sum = (N / 2 ) * phi;
		else
			sum = N * ( phi / 2);

		R = 2 * sum + N * phi;

		printf("%lld\n", R);


	}

	return 0;
}