Here is how the "Happy Number" series is generated. Take any integer. Form the next term by adding together the sum of the squares of each of the term's digits. The succeeding terms are all generated in the same way. Continue until one of the terms is either 4 or 1. If it ends in 4, a continuous loop exists. If it ends in 1, the series terminates and the first term in such a series is known as a Happy Number.

Example: 49, 97, 130, 10, 1.

Find a series of 5 consecutive integers which are all Happy Numbers.

The concept of a "happy number" is based on the following question: What is the smallest natural number that is happy? The answer to this question is 17. That's because it takes 18 numbers after 1 before you reach one that isn't happy, and so if we start with any other dissertation editing services number than 17, then by definition, it would be unhappy. To understand how this series was generated I will explain what steps were taken and how they were calculated in order to find out which numbers are happy or not.

Posted by Elsie Morrison on 2021-10-05 04:05:48