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Python program to check if the given number is Happy Number
Python program to check if the given number is Happy Number
In this example, we will see a Python program through which we can check if a given number is a Happy number or not.
Any given number is said to be a happy number if it yields 1 when replaced by the sum of squares of its digits repeatedly. If this process results in an endless cycle of numbers containing 4 then that number will be said an unhappy number.
ALGORITHM:
- STEP 1:isHappyNumber() determines whether a given number is happy or not.
- If the number is greater than 0, then calculate the remainder rem by dividing the number with 10.
- Calculate the square of rem and add it to a variable sum.
- Divide number by 10.
- Repeat the steps from a to c till the sum of the square of all digits present in number has been calculated.
- Finally, return the sum.
- STEP 2:Define and initialize variable num.
- STEP 3:Define a variable result and initialize it with a value of num.
- STEP 4:If the result is neither equal to 1 nor 4 then, make a call to isHappyNumber().
- STEP 5:Otherwise, if the result is equal to 1 then, the given number is a happy number.
- STEP 6:If the result is equal to 4 then, the given number is not a happy number.
#isHappyNumber() will determine whether a number is happy or not
def isHappyNumber(num):
rem = sum = 0;
#Calculates the sum of squares of digits
while(num > 0):
rem = num%10;
sum = sum + (rem*rem);
num = num//10;
return sum;
num = 35;
result = num;
while(result != 1 and result != 4):
result = isHappyNumber(result);
#Happy number always ends with 1
if(result == 1):
print(str(num) + " is a happy number");
#Unhappy number ends in a cycle of repeating numbers which contain 4
elif(result == 4):
print(str(num) + " is not a happy number");
Output:
35 is not a happy number
35 is not a happy number
Output:
82 is a happy number
82 is a happy number
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