#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define endl codeforces #define ALL(v) std::begin(v), std::end(v) #define ALLR(v) std::rbegin(v), std::rend(v) using ll = std::int64_t; using ull = std::uint64_t; using pii = std::pair; using tii = std::tuple; using pll = std::pair; using tll = std::tuple; template using vec = std::vector; template using vvec = vec>; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template const T& clamp(const T &t, const T &low, const T &high) { return std::max(low, std::min(high, t)); } template void chclamp(T &t, const T &low, const T &high) { return t = clamp(t, low, high); } template T make_v(T init) { return init; } template auto make_v(T init, std::size_t s, Tail... tail) { auto v = std::move(make_v(init, tail...)); return vec(s, v); } template struct multi_dem_array { using type = std::array::type, Head>; }; template struct multi_dem_array { using type = std::array; }; template using mdarray = typename multi_dem_array::type; namespace init__ { struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; } ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } ll solve() { ll n; std::cin >> n; ll ans = n * n; // a = c = 1 auto check = [&](ll a, ll b) { ll val = 1, cur = a; bool ok = true; while (b && ok) { if (b & 1) val *= cur; cur *= cur; b /= 2; if (b == 0) break; if (n < val) ok = false; if (n < cur) ok = false; } return (b == 0 && val <= n); }; for (ll x = 1; x <= 32; x++) for (ll y = 1; y <= 32; y++) { ll g = gcd(x, y); if (2 <= g) continue; ll k = std::max(x, y); ll ok = 1, ng = n + 1; while (1 < std::abs(ok - ng)) { ll mid = (ok + ng) / 2; (check(mid, k) ? ok : ng) = mid; } ans += (ok - 1) * (n / k); } return ans; } int main() { ll t; std::cin >> t; while (t--) std::cout << solve() << '\n'; return 0; }