class Modulo_Error(Exception):
    pass

class Modulo():
    __slots__=["a","n"]

    def __init__(self,a,n):
        self.a=a%n
        self.n=n

    def __str__(self):
        return "{} (mod {})".format(self.a,self.n)

    def __repr__(self):
        return self.__str__()

    #+,-
    def __pos__(self):
        return self

    def __neg__(self):
        return  Modulo(-self.a,self.n)

    #等号,不等号
    def __eq__(self,other):
        if isinstance(other,Modulo):
            return (self.a==other.a) and (self.n==other.n)
        elif isinstance(other,int):
            return (self-other).a==0

    def __neq__(self,other):
        return not(self==other)

    def __le__(self,other):
        a,p=self.a,self.n
        b,q=other.a,other.n
        return (a-b)%q==0 and p%q==0

    def __ge__(self,other):
        return other<=self

    def __lt__(self,other):
        return (self<=other) and (self!=other)

    def __gt__(self,other):
        return (self>=other) and (self!=other)

    def __contains__(self,val):
        return val%self.n==self.a

    #加法
    def __add__(self,other):
        if isinstance(other,Modulo):
            if self.n!=other.n:
                raise Modulo_Error("異なる法同士の演算です.")
            return Modulo(self.a+other.a,self.n)
        elif isinstance(other,int):
            return Modulo(self.a+other,self.n)

    def __radd__(self,other):
        if isinstance(other,int):
            return Modulo(self.a+other,self.n)

    def __iadd__(self,other):
        if isinstance(other,Modulo):
            if self.n!=other.n: raise Modulo_Error("異なる法同士の演算です.")
            self.a+=other.a
            if self.a>=self.n: self.a-=self.n
        elif isinstance(other,int):
            self.a+=other
            if self.a>=self.n: self.a-=self.n
        return self

    #減法
    def __sub__(self,other):
        return self+(-other)

    def __rsub__(self,other):
        if isinstance(other,int):
            return -self+other

    def __isub__(self,other):
        if isinstance(other,Modulo):
            if self.n!=other.n: raise Modulo_Error("異なる法同士の演算です.")
            self.a-=other.a
            if self.a<0: self.a+=self.n
        elif isinstance(other,int):
            self.a-=other
            if self.a<0: self.a+=self.n
        return self

    #乗法
    def __mul__(self,other):
        if isinstance(other,Modulo):
            if self.n!=other.n:
                raise Modulo_Error("異なる法同士の演算です.")
            return Modulo(self.a*other.a,self.n)
        elif isinstance(other,int):
            return Modulo(self.a*other,self.n)

    def __rmul__(self,other):
        if isinstance(other,int):
            return Modulo(self.a*other,self.n)

    def __imul__(self,other):
        if isinstance(other,Modulo):
            if self.n!=other.n: raise Modulo_Error("異なる法同士の演算です.")
            self.a*=other.a
        elif isinstance(other,int):
            self.a*=other
        self.a%=self.n
        return self

    #Modulo逆数
    def inverse(self):
        return self.Modulo_Inverse()

    def Modulo_Inverse(self):
        s,t=1,0
        a,b=self.a,self.n
        while b:
            q,a,b=a//b,b,a%b
            s,t=t,s-q*t

        if a!=1:
            raise Modulo_Error("{}の逆数が存在しません".format(self))
        else:
            return Modulo(s,self.n)

    #除法
    def __truediv__(self,other):
        return self*(other.Modulo_Inverse())

    def __rtruediv__(self,other):
        return other*(self.Modulo_Inverse())

    #累乗
    def __pow__(self,other):
        if isinstance(other,int):
            u=abs(other)

            r=Modulo(pow(self.a,u,self.n),self.n)
            if other>=0:
                return r
            else:
                return r.Modulo_Inverse()
        else:
            b,n=other.a,other.n
            if pow(self.a,n,self.n)!=1:
                raise Modulo_Error("矛盾なく定義できません.")
            else:
                return self**b

#==================================================
def Order(X):
    """ X の位数を求める. つまり, X^k=[1] を満たす最小の正整数 k を求める.
    """
    phi=1
    N=X.n

    e=(N&(-N)).bit_length()-1
    if e>0:
        phi=1<<(e-1)
        N>>=e
    else:
        phi=1

    e=0
    while N%3==0:
        e+=1
        N//=3

    if e>0:
        phi*=pow(3,e-1)*2

    flag=0
    p=5
    while p*p<=N:
        if N%p==0:
            e=0
            while N%p==0:
                e+=1
                N//=p

            phi*=pow(p,e-1)*(p-1)

        p+=2+2*flag
        flag^=1

    if N>1:
        phi*=N-1

    a=float("inf")
    k=1
    while k*k<=phi:
        if phi%k==0:
            if k<a and pow(X,k)==1:
                a=k
                break

            if phi//k<a and pow(X,phi//k)==1:
                a=phi//k
        k+=1

    return a
#=================================================
T=int(input())

for _ in range(T):
    N=int(input())
    print(Order(Modulo(2,2*N-1)))