Perfect numbers
When the addition of the divisors of a number equals the number itself it is said to be perfect.
Divisors of 6 ->1, 2, 3 and 1+2+3=6 ,Divisors of 28->1, 2, 4, 7, 14 and 1+2+4+7+14=28
1st number=6, 2nd number=28.
There are many numbers like these
Find the difference between the 7th and the 6th perfect number.
The answer is 128848822272.
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Check this java program it will give the answer.
public class perfect { public static void main(String args[])
{
long x=0,s=0,a=0,n=0,c,i;
for(i=1;;i++){
if(a<=7)
{
for(long j=1;j<i;j++)
{
if(i%j==0)
x+=j;
}
if(x==i)
a++;
if(a==6)
s=x;
if(a==7)
n=x;
}
else
break;
}
c=n-s;
System.out.println("And the difference is"+c);
}
}