#include <bits/stdc++.h>
using namespace std;
long long anses[25] = {1,      1,      5,       1,      21,      1,
                       85,     73,     341,     89,     1365,    1,
                       5461,   4681,   21845,   1,      87381,   1,
                       349525, 299593, 1398101, 178481, 5592405, 1082401};
long long ansfo[25] = {3,       7,       15,      31,      63,       127,
                       255,     511,     1023,    2047,    4095,     8191,
                       16383,   32767,   65535,   131071,  262143,   524287,
                       1048575, 2097151, 4194303, 8388607, 16777215, 33554431};
int main() {
  long long n, q;
  cin >> n;
  for (int i = 0; i < n; i++) {
    cin >> q;
    if (q == 1) {
      cout << 1 << endl;
      continue;
    }
    for (int j = 0; j < 25; j++) {
      if (q == ansfo[j]) {
        cout << anses[j] << endl;
        q = 0;
        break;
      }
    }
    if (q == 0) {
      continue;
    }
    for (int j = 0; j < 25; j++) {
      if (q < ansfo[j]) {
        cout << ansfo[j] << endl;
        break;
      }
    }
  }
  return 0;
}
