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The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, …
Let us list the factors of the first seven triangle numbers:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
We can see that 28 is the first triangle number to have over five divisors.
What is the value of the first triangle number to have over five hundred divisors?
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My Solution
#include <stdio.h>
int main(){
int i,j,counter,max,ans;
ans=0;
max=0;
for(i=1;i<13000;i++){
ans=ans+i;
counter=0;
for (j=1;j<1000000;j++){
if(ans%j==0)
counter++;
}
if (counter>max){max=counter;}
if (counter>500){printf("%dn",ans);break;}
}
printf("last ans=%d e max counter=%dn",ans,max);
return 0;
}