const LIMIT: usize = 31;

fn solve(primes: &Vec<Vec<usize>>) -> usize {
    let mut x = String::new();
    std::io::stdin().read_line(&mut x).ok();
    let x: usize = x.trim().parse().unwrap();

    for i in 2..=LIMIT {
        let mut target = x;
        let mut xside = 1usize;
        let mut pside = 1usize;
        for j in 2..=i {
            let mut xcnt = 0usize;
            while target % j == 0 {
                target /= j;
                xcnt += 1;
            }
            xside *= 1 + xcnt;
            pside *= 1 + xcnt + primes[i][j];
        }
        if xside * 2 == pside {
            return x * i;
        }
    }
    0
}

fn main() {
    let mut t = String::new();
    std::io::stdin().read_line(&mut t).ok();
    let t: usize = t.trim().parse().unwrap();
    let mut result = Vec::with_capacity(t);
    let mut primes = vec![vec![0usize; LIMIT+1]; LIMIT+1];
    for i in 2..=LIMIT {
        let mut target = i;
        for j in 2..=i {
            while target % j == 0 {
                target /= j;
                primes[i][j] += 1;
            }
        }
    }
    for _ in 0..t {
        result.push(solve(&primes));
    }
    for &v in result.iter() {
        println!("{}", v);
    }
}