#include <stdio.h>

const int prime[11] = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31};

long long solve(long long X)
{
	int i, m[11];
	long long x;
	for (i = 0, x = X; i <= 10; i++) for (m[i] = 0; x % prime[i] == 0; m[i]++) x /= prime[i];
	
	int j, k, l[11], tmp[2];
	for (k = 2; k <= 30; k++) {
		for (i = 0, j = k; i <= 10; i++) for (l[i] = 0; j % prime[i] == 0; l[i]++) j /= prime[i];
		for (i = 0, tmp[0] = 1, tmp[1] = 1; i <= 10; i++) {
			tmp[0] *= m[i] + 1;
			tmp[1] *= m[i] + l[i] + 1;
		}
		if (tmp[1] == tmp[0] * 2) break;
	}
	return X * k;
}

int main()
{
	int t, T;
	long long X;
	scanf("%d", &T);
	for (t = 1; t <= T; t++) {
		scanf("%lld", &X);
		printf("%lld\n", solve(X));
	}
	fflush(stdout);
	return 0;
}