#include <cstdio>
#include <cstring>
#include <iostream>
#include <string>
#include <cmath>
#include <bitset>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <algorithm>
#include <complex>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <cassert>
#include <fstream>
#include <utility>
#include <functional>
#include <time.h>
#include <stack>
#include <array>
#include <list>
#include <atcoder/all>
#define popcount __builtin_popcount
using namespace std;
using namespace atcoder;
typedef long long ll;
typedef pair<int, int> P;
ll powmod(__int128_t a, ll k, ll m){
	__int128_t ap=a, ans=1;
	while(k){
		if(k&1){
			ans*=ap;
			ans%=m;
		}
		k>>=1;
		ap=ap*ap%m;
	}
	return ans;
}
bool is_prime(ll n){
	if(n<=1 || !(n&1)) return (n==2);
	ll d=n-1;
	int k=0;
	while(!(d&1)){
		d>>=1;
		k++;
	}
	vector<ll> va{2, 325, 9375, 28178, 450775, 9780504, 1795265022}; // http://miller-rabin.appspot.com/
	for(auto aa:va){
		ll a=aa%n;
		if(a==0) continue;
		bool comp=1;
		ll ap=powmod(a, d, n);
		if(ap==1 || ap==n-1) continue;
		for(int r=1; r<k; r++){
			ap=(__int128_t)ap*ap%n;
			if(ap==n-1){
				comp=0;
				break;
			}
		}
		if(comp) return false;
	}
	return true;
}
ll gcd(ll a, ll b){
	if(a==0) return b;
	if(b==0) return a;
	if(a<0) a=-a;
	if(b<0) b=-b;
	const int s=__builtin_ctzll(a|b);
	a>>=__builtin_ctzll(a);
	while(b){
		b>>=__builtin_ctzll(b);
		if(a>b) swap(a, b);
		b-=a;
	}
	return a<<s;
}
ll rho(ll n, ll& c){
	if(!(n&1)) return 2;
	while(1){
		ll x=2, y=2, d=1;
		while(d==1){
			x=((__int128_t)x*x+c)%n;
			y=((__int128_t)y*y%n+c)%n;
			y=((__int128_t)y*y%n+c)%n;
			d=gcd(abs(x-y), n);
		}
		if(d==n){
			c++;
			continue;
		}
		return d;
	}
}
vector<pair<ll, int>> factorize(ll n){
	if(n<=1){
		vector<pair<ll, int>> ret;
		return ret;
	}
	map<ll, int> mp;
	vector<ll> v(1, n);
	ll c=1;
	while(!v.empty()){
		ll x=v.back();
		v.pop_back();
		if(is_prime(x)){
			mp[x]++;
			continue;
		}
		ll p=rho(x, c);
		v.push_back(p);
		v.push_back(x/p);
	}
	vector<pair<ll, int>> ret;
	for(auto p:mp) ret.push_back(p);
	return ret;
}
const int MAX=1000010;
bitset<MAX> isprime;
void sieve(){
    for(int i=3; i<MAX; i++, i++) isprime[i]=1;
    isprime[2]=1;
    for(int i=3; i<MAX; i++){
        if(isprime[i]){
            for(int j=(i<<1); j<MAX; j+=i) isprime[j]=0;
        }
    }
}
int main()
{
    int t; cin>>t;
    sieve();
    map<ll, int> mp1[50];
    for(int i=2; i<50; i++){
        for(int j=2; j<50; j++){
            if(!isprime[j]) continue;
            int x=i;
            while(x%j==0){
                x/=j;
                mp1[i][j]++;
            }
        }
    }
    while(t--){
        ll x; cin>>x;
        if(x%2!=0){
            cout<<2*x<<endl;
            continue;
        }
        auto v=factorize(x);
        map<ll, int> mp;
        for(auto p:v) mp[p.first]=p.second;
        ll c=1;
        for(auto p:v) c*=(p.second+1);
        for(int i=2; ; i++){
            if(isprime[i] && x%i!=0){
                cout<<i*x<<endl;
                break;
            }
            ll c1=c;
            for(auto q:mp1[i]){
                c1/=(mp[q.first]+1);
                mp[q.first]+=q.second;
                c1*=(mp[q.first]+1);
            }
            if(c1==c*2){
                cout<<i*x<<endl;
                break;
            }
            for(auto q:mp1[i]){
                mp[q.first]-=q.second;
            }
        }
    }
    return 0;
}