from sys import stdin
input = stdin.readline

def nC2(n):
    return n*(n-1)//2
def nC3(n):
    return n*(n-1)*(n-2)//6

MOD = 998244353

dp = list(range(10**7+1))
for n in range(2, 10**7+1):
    if dp[n] != n: continue
    inv = (1-pow(n, -1, MOD))%MOD
    for i in range(n, 10**7+1, n):
        dp[i] *= inv
        dp[i] %= MOD
dp[1] = 0
for i in range(2, 10**7+1):
    dp[i] = i-1-dp[i]
    dp[i] += dp[i-1]

for _ in range(int(input())):
    N = int(input())
    print(nC2(N)+dp[N])