#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr ll LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(20);
  }
} iosetup;

long long euler_phi(long long val) {
  assert(val >= 1);
  long long res = val;
  for (long long i = 2; i * i <= val; ++i) {
    if (val % i == 0) {
      res -= res / i;
      while (val % i == 0) val /= i;
    }
  }
  if (val > 1) res -= res / val;
  return res;
}

template <typename T>
std::vector<T> divisor(T val) {
  std::vector<T> res;
  for (T i = 1; i * i <= val; ++i) {
    if (val % i == 0) {
      res.emplace_back(i);
      if (i * i != val) res.emplace_back(val / i);
    }
  }
  std::sort(res.begin(), res.end());
  return res;
}

long long mod_pow(long long base, long long exponent, int mod) {
  base %= mod;
  long long res = 1;
  while (exponent > 0) {
    if (exponent & 1) (res *= base) %= mod;
    (base *= base) %= mod;
    exponent >>= 1;
  }
  return res;
}

signed main() {
  int t; cin >> t;
  while (t--) {
    ll n; cin >> n;
    n = (n - 1) * 2 + 1;
    for (ll ans : divisor(euler_phi(n))) {
      if (mod_pow(2, ans, n) == 1) {
        cout << ans << '\n';
        break;
      }
    }
  }
  return 0;

  // vector<int> a(n * 2);
  // iota(ALL(a), 0);
  // for (int k = 1; ; ++k) {
  //   vector<int> nx(n * 2);
  //   REP(i, n) {
  //     nx[i * 2] = a[i];
  //     nx[i * 2 + 1] = a[n + i];
  //   }
  //   a.swap(nx);
  //   if (is_sorted(ALL(a))) {
  //     cout << k << '\n';
  //     break;
  //   }
  // }
}