// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------

// A の条件無視したものからAの条件に違反するものを引く
// Bの倍数で違反するものは容易に消せるがBの約数の条件はどうしよう
// 

fn naive() {
    input! {
        n: u128,
    }
    let mut ans = 0;
    for b in 1..=n {
        let rem = n / b - 1;
        ans += rem * (n - 2);// A全部
        ans -= rem * (rem - 1);// AはBの倍数
    }
    println!("{}", ans);
    // a はb の約数
    for a in 1..=n {
        let q = n / a;
        if q - 1 < 2 {
            break;
        }
        for b in 2..=q {
            let rem = q / b - 1;
            if rem == 0 {
                break;
            }
            ans -= rem;
        }
    }
    ans %= 1_000_000_007;
    println!("{}", ans);
}

fn run() {
    input! {
        n: u128,
    }
    let mut ans = 0;
    let mut q = 1;
    let mut r = n;
    loop {
        let l = n / (q + 1);
        if l * l <= n {
            break;
        }
        let m = r - l;
        ans += m * (q - 1) * (n - 2);// A全部
        ans -= m * (q - 1) * (q - 2);// AはBの倍数
        r = l;
        q += 1;
    }
    for b in 1..=r {
        let rem = n / b - 1;
        ans += rem * (n - 2);// A全部
        ans -= rem * (rem - 1);// AはBの倍数
    }
    let mut map = std::collections::HashMap::new();
    for i in 1..=r {
        map.insert(n / i, 0);
    }
    for i in 1..=q {
        map.insert(i, 0);
    }
    for (q, v) in map.iter_mut() {
        let n = *q;
        let mut val = 0u128;
        let mut q = 1;
        let mut r = n;
        loop {
            let l = n / (q + 1);
            if l * l <= n {
                break;
            }
            let m = r - l;
            val += (q - 1) * m;
            q += 1;
            r = l;
        }
        for i in 2..=r {
            val += n / i - 1;
        }
        *v = val;
    }
    let mut r = n;
    let mut q = 1;
    loop {
        let l = n / (q + 1);
        if l * l <= n {
            break;
        }
        let m = r - l;
        if q >= 3 {
            ans -= m * *map.get(&q).unwrap();
        }
        r = l;
        q += 1;
    }
    for i in 1..=r {
        let q = n / i;
        if q >= 3 {
            ans -= *map.get(&q).unwrap();
        }
    }
    ans %= 1_000_000_007;
    println!("{}", ans);
}

fn main() {
//    naive();
    run();
}