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Happy / Sad Number Calculator | Sum of Digits

A happy number is defined by the following process.
    1. Starting with any positive integer,
    2. Replacing the number by the sum of the squares of its digits,
    3. Repeating the process until the number reach 1.
    4. If the number reaches 1 at the end of the process, the number is said to be Happy, else, unhappy or sad.

Related Calculators


Happy / Sad Number Calculation

Positive Integer =

 

Result =

 
   
  
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Example:
Let us Consider,
      Positive Integer = 103
      Sum of Digits of 103 = 1² + 0² + 3² = 1 + 0 + 9 = 10
      10 = 1² + 0² = 1 + 0 = 1
      Solution, 103 is a happy number

Happy Number belongs to Recreational Mathematics