/* -*- coding: utf-8 -*-
 *
 * 2016.cc:  No.2016 Countdown Divisors - yukicoder
 */

#include<cstdio>
#include<vector>
#include<map>
#include<algorithm>
 
using namespace std;

/* constant */

const int MAX_P = 32000;

/* typedef */

typedef vector<int> vi;
typedef map<int,int> mii;

/* global variables */

bool primes[MAX_P + 1];
mii cache;

/* subroutines */

int gen_primes(int maxp, vi &pnums) {
  fill(primes, primes + maxp + 1, true);
  primes[0] = primes[1] = false;

  int p;
  for (p = 2; p * p <= maxp; p++)
    if (primes[p]) {
      pnums.push_back(p);
      for (int q = p * p; q <= maxp; q += p) primes[q] = false;
    }
  for (; p <= maxp; p++)
    if (primes[p]) pnums.push_back(p);
  return (int)pnums.size();
}

int divnum(int n, vi &pnums) {
  int d = 1;
  int pn = pnums.size();
  for (int i = 0; i < pn; i++) {
    int pi = pnums[i];
    if (pi * pi > n) {
      if (n > 1) d *= 2;
      break;
    }

    if (n % pi == 0) {
      int fi = 0;
      while (n % pi == 0) n /= pi, fi++;
      d *= fi + 1;
    }
  }
  return d;
}

/* subroutines */

/* main */

int main() {
  vi pnums;
  gen_primes(MAX_P, pnums);

  int tn;
  scanf("%d", &tn);

  while (tn--) {
    int n;
    scanf("%d", &n);

    mii::iterator mit = cache.find(n);
    if (mit != cache.end())
      printf("%d\n", mit->second);
    else {
      int m = n;
      while (m > 2) m -= divnum(m, pnums);
      cache[n] = m;

      printf("%d\n", m);
    }
  }
  return 0;
}