pub mod gcd {
    pub trait Gcd {
        type Output;
        fn gcd(self, other: Self) -> Self::Output;
    }
    #[warn(unused_macros)]
    macro_rules! gcd_unsigned_impl {
        ($($t:ty)*) => ($(
            impl Gcd for $t {
                type Output = $t;
                fn gcd(self, other: Self) -> Self::Output {
                    if self == 0 {
                        other
                    } else if other == 0 {
                        self
                    } else {
                        if self < other {
                            self.gcd(other % self)
                        } else {
                            other.gcd(self % other)
                        }
                    }
                }
            }
        )*)
    }
    #[warn(unused_macros)]
    macro_rules! gcd_signed_impl {
        ($($t:ty)*) => ($(
            impl Gcd for $t {
                type Output = $t;
                fn gcd(self, other: Self) -> Self::Output {
                    if self == 0 {
                        other.abs()
                    } else if other == 0 {
                        self.abs()
                    } else {
                        if self.abs() < other.abs() {
                            self.gcd(other % self)
                        } else {
                            other.gcd(self % other)
                        }
                    }
                }
            }
        )*)
    }
    gcd_signed_impl!(i32 i64);
    gcd_unsigned_impl!(usize u32 u64);
}

#[cfg(test)]
mod tests {
    use super::gcd::Gcd;
    #[test]
    fn test_gcd() {
        assert_eq!(8.gcd(10), 2);
        assert_eq!(10.gcd(8), 2);
        assert_eq!(11.gcd(9), 1);
        assert_eq!(9.gcd(11), 1);
        assert_eq!(10.gcd(100), 10);
        assert_eq!((-10i32).gcd(-100i32), 10);
        assert_eq!((-25i32).gcd(-30i32), 5);
        assert_eq!((-30i32).gcd(-25i32), 5);
    }
}
use gcd::Gcd;
fn solve() {

    let stdin = std::io::stdin();
    let mut scn = Scanner { stdin: stdin.lock() };
    let k: usize = scn.read();
    let mut result = 0;
    for a in 1..=k {
        for b in 1..=k {
            for c in 1..=k {
                let g = a.gcd(b);
                result += g.gcd(c);
            }
        }
    }
    println!("{}", result);
}

fn main() {
    std::thread::Builder::new()
        .stack_size(64 * 1024 * 1024) // 64MB
        .spawn(|| solve())
        .unwrap()
        .join()
        .unwrap();
}
pub mod utils {
    const DYX: [(isize, isize); 8] = [
        (0, 1),   //right
        (1, 0),   //down
        (0, -1),  //left
        (-1, 0),  //top
        (1, 1),   //down right
        (-1, 1),  //top right
        (1, -1),  //down left
        (-1, -1), //top left
    ];

    pub fn try_adj(y: usize, x: usize, dir: usize, h: usize, w: usize) -> Option<(usize, usize)> {
        let ny = y as isize + DYX[dir].0;
        let nx = x as isize + DYX[dir].1;
        if ny >= 0 && nx >= 0 {
            let ny = ny as usize;
            let nx = nx as usize;
            if ny < h && nx < w {
                Some((ny, nx))
            } else {
                None
            }
        } else {
            None
        }
    }
}

//snippet from kenkoooo
pub struct Scanner<R> {
    stdin: R,
}

impl<R: std::io::Read> Scanner<R> {
    pub fn read<T: std::str::FromStr>(&mut self) -> T {
        use std::io::Read;
        let buf = self
            .stdin
            .by_ref()
            .bytes()
            .map(|b| b.unwrap())
            .skip_while(|&b| b == b' ' || b == b'\n' || b == b'\r')
            .take_while(|&b| b != b' ' && b != b'\n' && b != b'\r')
            .collect::<Vec<_>>();
        unsafe { std::str::from_utf8_unchecked(&buf) }
            .parse()
            .ok()
            .expect("Parse error.")
    }
    pub fn read_line(&mut self) -> String {
        use std::io::Read;
        let buf = self
            .stdin
            .by_ref()
            .bytes()
            .map(|b| b.unwrap())
            .skip_while(|&b| b == b'\n' || b == b'\r')
            .take_while(|&b| b != b'\n' && b != b'\r')
            .collect::<Vec<_>>();
        unsafe { std::str::from_utf8_unchecked(&buf) }
            .parse()
            .ok()
            .expect("Parse error.")
    }
    pub fn vec<T: std::str::FromStr>(&mut self, n: usize) -> Vec<T> {
        (0..n).map(|_| self.read()).collect()
    }

    pub fn chars(&mut self) -> Vec<char> {
        self.read::<String>().chars().collect()
    }
}


Measured memory_bytes: 2200