import java.io.BufferedReader
import java.io.InputStream
import java.io.InputStreamReader
import java.io.PrintWriter
import java.util.*

import java.math.BigInteger

fun PrintWriter.solve(sc: FastScanner) {
    val t = sc.nextInt()
    for (_i in 0 until t) {
        val n = sc.nextLong()
        if (n == 1L) {
            println(1)
            continue
        }
        val m = 2 * n - 1
        val phi = phi(m)
        var ans = Long.MAX_VALUE
        val number = phi
        val div = mutableListOf<Long>()
        var divisor = 1L
        while (divisor * divisor <= number) {
            if (number % divisor == 0L) {
                div.add(divisor)
                if (divisor * divisor != number) {
                    div.add(number / divisor)
                }
            }
            divisor++
        }
        for (d in div) {
            if (modpow(2, d, m) == 1L) {
                ans = minOf(ans, d)
            }
        }
        println(ans)
    }
}

fun phi(n: Long): Long {
    var res = n
    var i = 2L
    var m = n
    while (i * i <= m) {
        if (m % i == 0L) {
            res = res / i * (i - 1)
            while (m % i == 0L) {
                m /= i
            }
        }
        i++
    }
    if (m > 1) {
        res = res / m * (m - 1)
    }
    return res
}

fun modpow(a: Long, n: Long, m: Long): Long {
    if (n == 0L) return 1
    if (n == 1L) return a
    val pow = modpow(a, n / 2, m)
    var res = pow * pow % m
    if (n % 2 == 1L) {
        res *= a
        res %= m
    }
    return res
}

fun main() {
    val writer = PrintWriter(System.out, false)
    writer.solve(FastScanner(System.`in`))
    writer.flush()
}

class FastScanner(s: InputStream) {
    private var st = StringTokenizer("")
    private val br = BufferedReader(InputStreamReader(s))

    fun next(): String {
        while (!st.hasMoreTokens()) st = StringTokenizer(br.readLine())

        return st.nextToken()
    }

    fun nextInt() = next().toInt()
    fun nextLong() = next().toLong()
    fun nextLine() = br.readLine()
    fun nextDouble() = next().toDouble()
    fun ready() = br.ready()
}