import java.io.*;
import java.util.*;

public class Main {
    static HashMap<Integer, Integer> dp = new HashMap<>();
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        StringBuilder sb = new StringBuilder();
        while (n-- > 0) {
            sb.append(dfw(sc.nextInt())).append("\n");
        }
        System.out.print(sb);
    }
    
    static int dfw(int x) {
        if (!dp.containsKey(x)) {
            int count = 0;
            for (int i = 1; i <= Math.sqrt(x); i++) {
                if (x % i == 0) {
                    count++;
                    if (i * i < x) {
                        count++;
                    }
                }
            }
            if (count == x) {
                dp.put(x, x);
            } else {
                dp.put(x, dfw(x - count));
            }
        }
        return dp.get(x);
    }
}
    
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}