#![allow(unused_imports)]
#![allow(non_snake_case)]
use std::cmp::*;
use std::collections::*;
use std::io::Write;

#[allow(unused_macros)]
macro_rules! debug {
    ($($e:expr),*) => {
        #[cfg(debug_assertions)]
        $({
            let (e, mut err) = (stringify!($e), std::io::stderr());
            writeln!(err, "{} = {:?}", e, $e).unwrap()
        })*
    };
}

fn main() {
    let t = read::<usize>();
    let mut ns = vec![];
    for _ in 0..t {
        let n = read::<i64>();
        ns.push(n);
    }
    for n in ns {
        let mut ans = n * n; // 1
        ans += (n - 1) * n;

        for p in 2..31i64 {
            let mut i = 1i64;
            while i.pow(p as u32) <= n {
                i += 1;
            }
            let inc = (i - 2) * (n + 1 - p) * 2;
            if n == 5 {
                debug!(i, p, inc);
            }
            ans += (i - 2) * (n / p) * 2;
        }
        println!("{}", ans);
    }
}

fn read<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}