import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
import itertools

T = int(readline())
nums = np.array(read().split(), np.int64)
count = np.zeros_like(nums)

# a = c = 1
count += nums ** 2


def find_kth_root_int(a, k):
    if k == 0:
        return 0
    x = int(a ** (1 / k))
    while (x ** k > a):
        x -= 1
    while ((x + 1) ** k <= a):
        x += 1
    return x


bounds = []
for k in range(40):
    # r^k <= N となる r の最大値を求める
    R = np.array([find_kth_root_int(x, k) for x in nums], np.int64)
    bounds.append(R)

for k, l in itertools.product(range(1, 40), repeat=2):
    if np.gcd(k, l) > 1:
        continue
    cnt_r = bounds[max(k, l)] - 1
    cnt_bd = nums // max(k, l)
    count += cnt_r * cnt_bd

print('\n'.join(count.astype(str)))