#include<bits/stdc++.h>
#if __has_include(<atcoder/all>)
#endif
using namespace std;
#define LL(...) ll __VA_ARGS__;lin(__VA_ARGS__)
#define FO(n) for(ll IJK=n;IJK-->0;)
#define fo(i,...) for(auto[i,i##stop,i##step]=for_range<ll>(0,__VA_ARGS__);i<i##stop;i+=i##step)
#define of(i,...) for(auto[i,i##stop,i##step]=for_range<ll>(1,__VA_ARGS__);i>=i##stop;i+=i##step)
#define defpp template<ostream&o=cout>void pp(const auto&...a){[[maybe_unused]]const char*c="";((o<<c<<a,c=" "),...);o<<'\n';}void epp(const auto&...a){pp<cerr>(a...);}
#define entry defpp void main();void main2();}int main(){my::io();my::main();}namespace my{
#define multiple_testcases LL(T);FO(T)main2();}void main2(){
namespace my{
void io(){cin.tie(nullptr)->sync_with_stdio(0);cout<<fixed<<setprecision(15);}
using ll=long long;
using ui32=uint32_t;
using ui64=uint64_t;
template<class T>constexpr auto for_range(T s,T b){T a=0;if(s)swap(a,b);return array{a-s,b,1-s*2};}
template<class T>constexpr auto for_range(T s,T a,T b,T c=1){return array{a-s,b,(1-s*2)*c};}
void lin(auto&...a){(cin>>...>>a);}
constexpr auto abs(auto x){return x<0?-x:x;}
constexpr ll size2(auto x){x|=1;ll r=0;while(x>0)x>>=1,++r;return r;}
constexpr ll log2_floor(auto x){return size2(x)-1;}
auto floor(auto x,auto y){if(y<0)x=-x,y=-y;return x>=0?x/y:(x+1)/y-1;}
auto max(auto...a){return max(initializer_list<common_type_t<decltype(a)...>>{a...});}
template<class T,class U>common_type_t<T,U>gcd(T a,U b){return b?gcd(b,a%b):abs(a);}
auto bot(auto...a){return gcd(a...)==1;}
constexpr ui64 kth_root_floor(ui64 a,ll k){
  if (k==1)return a;
  auto within=[&](ui32 x){ui64 t=1;FO(k)if(__builtin_mul_overflow(t,x,&t))return false;return t<=a;};

  ui64 r=0;
  of(i,sizeof(ui32)*CHAR_BIT)if(within(r|(1u<<i)))r|=1u<<i;
  return r;
}
}
namespace my{entry
void main(){
  multiple_testcases
  LL(N);

  ll M=log2_floor(N);
  ll ans=N*N; // a=c=1のとき

  // a,c>=2のとき
  fo(bb,1,M+1)fo(dd,1,M+1){
    if(!bot(bb,dd))continue;
    ans+=(kth_root_floor(N,max(bb,dd))-1)*floor(N,max(bb,dd));
  }
  pp(ans);
}}