import sys

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for k in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for k in range(c)] for k in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10**6)
INF = 10**18
MOD = 10**9 + 7
EPS = 10**-10

M = 1000
k = 0
prep = []
while k < M:
    prep.append((pow(2, k, INF)-k)%INF)
    k += 1
M = len(prep)

N = INT()
for p in LIST(N):
    for i in range(1, M):
        if prep[i] % p == 0:
            print(i)
            break
    else:
        print(-1)