import sys
from math import gcd
def I(): return int(sys.stdin.readline().rstrip())


def lcm(a,b):
    return a*b//gcd(a,b)


def f(N):
    res = 2*N**2-N
    M = int(N**.5)
    flag = [1]*(M+1)  # flag[i] == 1 ⇔ iが冪乗数でない
    for i in range(2,M+1):
        if flag[i] == 0:
            continue
        x = i**2
        while x <= M:
            flag[x] = 0
            x *= i
    for a in range(2,M+1):
        if flag[a] == 0:
            continue
        e = 2
        while a**e <= N:
            res += 2*(N//e)
            e += 1
    for aa in range(2,M+1):
        if flag[aa] == 0:
            continue
        m = 2
        while aa**m <= N:
            e = m+1
            while aa**e <= N:
                res += 2*(N*m//lcm(m,e))
                e += 1
            m += 1
    return res


T = I()
for _ in range(T):
    N = I()
    print(f(N))