from math import lcm

Ts = [1]
for i in range(1, 43):
    Ts.append(lcm(Ts[-1], i))
    # print(Ts[-1]/i/1e17)

mod = 998244353
for _ in range(int(input())):
    n = int(input())
    ans = 0
    for l in range(1, 43):
        T = Ts[l]
        k = n // T
        if k == 0:
            break
        # [Tk,n]
        # sum_{1<=i<=k}(n+1-Ti)
        tmp = ((n+1)*k - T*k*(k+1)//2) % mod
        ans += tmp * (Ts[l] // l) % mod
        ans %= mod
    print(ans)