Think of a number. Any number. Square each digit and sum the squares. Follow the same process with each answer and if the resulting number chain resolves to 1, then the number you started with is Happy! E.g: 31 ..... (3 x 3) + (1 x 1) = 9 + 1 = 10....... (1 x 1) + (0 x 0) = 1. 31 is a happy number!
So, we will need to be able to square all digits up to 9. Here is a representation of the first seven square numbers:
1,4,9,16,25,36,49,......... so, what are the 8th, 9th and 10th square numbers?
Task #1: When will your next 5 Happy Number birthdays be?
Task #2: What are the first two consecutive Happy Numbers?
Recording is important here because any chain leading to 1 will contain other happy numbers. Chains that do not resolve to 1 will contain other unhappy numbers!
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