1 #include<iostream>
 2 #include<cstring>
 3 #include<cstdio>
 4 #include<cmath>
 5 #include<stdio.h>
 6 #define it (p-l) 
 7 using namespace std;
 8 typedef long long LL;
 9 const LL MOD=998244353;
10 const long long MAXN=1000005;
11 long long prime[MAXN],tot=0;
12 bool isPrime[MAXN];    
13 LL k,num[MAXN],res[MAXN];
14 void getprime(){
15     memset(isPrime, true, sizeof(isPrime));
16     for(int i=2;i<MAXN;i++){
17         if(isPrime[i]){
18             prime[++tot]=i;
19         }
20         for(int j=1;j<=tot;j++){
21             if(i*prime[j]>MAXN) break;
22                 isPrime[i*prime[j]]=false;
23             if(i%prime[j]==0) break;
24         }
25     }
26     return ;
27 }
28 LL cal(LL l, LL r)
29 {
30     LL ans=0,tmp,cnt;
31     for(int i=1;i<=tot;i++)
32     {
33         LL p=(l+prime[i]-1)/prime[i]*prime[i];
34         while(p<=r){
35             cnt=0;
36             while(num[it]%prime[i]==0){
37                 num[it]/=prime[i];
38                 cnt++;
39             }
40             res[it]=res[it]*(k*cnt+1)%MOD;
41             p+=prime[i];
42         }
43     }
44     for(LL p=l;p<=r;p++){
45         if(num[it]==1)
46             ans+=res[it];
47         else
48             ans+=res[it]*(k+1);
49         ans%=MOD;
50     }
51     return ans;
52 }
53 int main()
54 {
55     int T;
56     LL l,r;
57     getprime();
58     scanf("%d", &T);
59     while(T--)
60     {
61         scanf("%lld %lld %lld", &l, &r, &k);
62         for(LL p=l;p<=r;p++){
63             res[it]=1;
64             num[it]=p;
65         }
66         LL res=cal(l, r);
67         printf("%lld\n", res);
68     }
69 }