#include<bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
 
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
 
#define start_routine() int begtime = clock();
#define end_routine() int endtime = clock(); cerr << endl << "Time elapsed: " << (endtime - begtime)*1000/CLOCKS_PER_SEC << " ms"; return 0
#define speed() cin.tie(0), cout.tie(0), ios_base::sync_with_stdio(false)
// #define exit(a, b) return cout << a, b;
 
// debugger
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cout << name << " : " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#define debug(stuff) cout << #stuff << ": " << stuff <<endl
#define debugc(stuff) cout << #stuff << ": "; for(auto x: stuff) cout << x << " "; cout << endl;
// 
 
#define loop(i,a,b) for(ll i=a;i<b;i++)
#define all(v) v.begin(), v.end() 
 
#define print(stuff) cout << stuff << endl
#define printc(stuff) for(auto x: stuff) cout << x << " "; cout << endl;
#define printPrec(stuff) cout << fixed << setprecision(15) << stuff << endl;
#define len length
#define ret0 return 0
#define ret return 
 
 
#define ll long long
#define ld long double
#define fi first
#define endl '\n'
#define se second
#define pb push_back
#define mp make_pair
#define lb lower_bound
#define ub upper_bound
#define fill(ar, x) memset(ar, x, sizeof ar)
 
#define vl vector<ll> 
#define sl set<ll>
#define pll pair<ll, ll>
#define mll map<ll, ll> 
#define pq priority_queue<ll>
 
// typedef tree<ll,null_type,less<ll>,rb_tree_tag,
// tree_order_statistics_node_update> indexed_set;
 
#define inf (long long int) 1e18
#define eps 0.000001
#define mod 1000000007
#define mod1 998244353
#define MAXN (ll)1e7+5
#define N (1ll<<10)
#define pi 3.14159265358979323846264

ll spf[MAXN];
 ll dp[MAXN];
void sieve() { 
    spf[1] = 1; 
    for (ll i=2; i<MAXN; i++) 
        spf[i] = i; 
    for (ll i=4; i<MAXN; i+=2) 
        spf[i] = 2; 
  
    for (ll i=3; i*i<MAXN; i++) { 
        if (spf[i] == i) { 
            for (ll j=i*i; j<MAXN; j+=i) 
                if (spf[j]==j) 
                    spf[j] = i; 
        } 
    } 
}

void solve(){
    ll n;
    cin>>n;
    sieve();
    ll ans = 0;
   
    dp[1] = 1;
    loop(i,2,n+1){
        // trace(i, getFactorization(i));
        ll x = spf[i];
        ll y = i/x;
        ll val = 0;
        while(y%x == 0){
            val++;
            y /= x;
        }
        dp[i] = (dp[i/x]/(val+1))*(val+2);
        // trace(dp[i]);
    }
    loop(i,1,n+1){
        ans += i*dp[i];
    }
    print(ans);
}
 
int main(){
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    #ifndef ONLINE_JUDGE
        start_routine();
        freopen("input.txt", "r", stdin);
        freopen("output.txt", "w", stdout);
    #endif
 
    ll t = 1;
    // cin>>t;
    while(t--){
        solve();
    }
        
    #ifndef ONLINE_JUDGE
        end_routine();
    #endif
}


Measured memory_bytes: 159896