C++ program to check a Peterson number
In this chapter of C++ program tutorial out task is:
-
write a c++ program to check whether a number is peterson number or not
C++ program to check a number is Peterson number or not
Below is the C++ program to check if a number is Peterson number or not.
/* Program Name : To check whether a number is Peterson or not
Program Author : Sayantan Bose
*/
#include <iostream>
#include <math.h>
using namespace std;
//This function will return the sum of the factorials of each digit of the inputed number.
int peter(int num)
{
int r,sum=0,f=1,i;
while(num!=0)
{
r=num%10;
for(i=1;i<=r;i++)
f=f*i;
sum=sum+f;
f=1;
num=num/10;
}
return sum;
}
// This is the main function
int main() {
int num,sum=0;
cout<<"Enter any number to check Peterson:\n";
cin>>num;
int new_num;
new_num=num;
sum=peter(num);
if(sum==new_num)
cout<<num<<" is a Peterson number";
else
cout<<num<< " is not a Peterson number";
return 0;
}
OUTPUT
Enter the number to check Peterson:
145
145 is an Peterson number
Or
Enter the number to check Peterson:
53
53 is not an Peterson number
EXPLANATION :
In the above c++ program to check if a number is Peterson or not:
-
A number is said to be Peterson if and only if the sum of the factorial of each digit of the number is equal to the number itself.
-
For example: 145 is a Peterson number. Because 145 can be written as the sum of 1!+4!+5!, is equal to 145 which is the number itself.
-
In the method peter, we are calculating the sum of the factorial of each digit of the number . And then the sum is returned to the main method.
-
In the main method the sum is then compared with the original number provided as input.
-
If both of them turn out to be equal the number is a Peterson number else it isn't.
You can see the above code execution and output in codeblocks IDE:
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About the Author
Sayantan Bose
- š Iām currently working on DS Algo skills
- š± Iām currently learning web develeopement
- šÆ Iām looking to collaborate with Oppia
- š« Reach me at https://www.linkedin.com/in/sayantan-bose-14134a1a6/
- š Pronouns: his/him
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Published Date :
Dec 11,2020