#include <bits/stdc++.h>
//#include <atcoder/all>
using namespace std;
//using namespace atcoder;
typedef long long ll;
typedef pair<ll,ll> P;
//typedef modint998244353 mint;
#define rep(i,a,b) for(ll i=a;i<b;i++)
#define rrep(i,a,b) for(ll i=a;i>=b;i--)
ll extgcd(ll a,ll b,ll& x,ll& y){
    ll d=a;
    if(b!=0){
        d=extgcd(b,a%b,y,x);
        y-=((a/b)*x);
    }else{
        x=1;
        y=0;
    }
    return d;
}
ll t;
ll p;
ll b[100];
ll T;
int main(void){
    cin.tie(0);
    ios::sync_with_stdio(0);
    cin>>t;
    b[0]=1;
    rep(i,1,40){
        b[i]=b[i-1]*2;
    }
    while(t--){
        cin>>p;
        T=p-1;
        if(p==2){
            cout<<2<<endl;
        }else{
            rep(i,0,40){
                if(p==b[i]-1){
                    T=i;
                }
            }
            ll x,y;
            extgcd(T,p,x,y);
            if(x<0){
                x+=p;
            }
            cout<<T*x<<endl;
        }
    }

}