Given a starting number and the ending number the task is to find the all the Peterson Number present in that given range and also to display it’s frequency.
Peterson Number is a number whose sum of factorial to it’s digits are equal to the original number.
Example 1: 145. 1!+4!+5! = 1+24+120 = 145. Hence it is a Peterson Number.
Example 2: 415. 4!+1!+5! = 24+1+120 = 145. Here the result is not equal to the original number. Hence it is not a Peterson Number.
C
#include <stdio.h>
int main()
{
int n=0,s=0,r=0,fact=1,nCopy=0;
printf("Enter a number: ");
scanf("%d",&n);
nCopy=n;
while(n>0)
{
r=n%10;
while(r>0)
{
fact=fact*r;
r--;
}
s=s+fact;
fact=1;
n=n/10;
}
if(s==nCopy)
{
printf("%d is a Peterson Number",nCopy);
}
else
{
printf("%d is not a Peterson Number",nCopy);
}
return 0;
}C