Unhappy number
In Mathematical, a number is known as unhappy when it is not happy. I.e. a number such as, when one adds the square each one of his figures, then the squares of the figures of this result and so on, one does not obtain 1.
2 is an unhappy number. Let us check it:
- 2 ² =4; 4 ² =16; 1 ² +6 ² = 37 ; 3 ² +7 ² =58; 5 ² +8 ² =89; 8 ² +9 ² =185; 1 ² +8 ² +5 ² =90; 9 ² +0 ² =81; 8 ² +1 ² =65; 6 ² +5 ² =61; 6 ² +1 ² = 37 …
- a Period equalizes to 8 appears then.
The first unhappy natural entireties are 2,3,4,5,6,8,9,11,12,14,15,16,17,18,20,…
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