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Having just looked up the definition of a happy number, which is:

"A number for which the sum of the squares of its digits (and the process repeated enough times) will resolve to (equal) 1" then:

36 = 32 + 62 = 9 + 36 = 45

45 = 16 + 25 = 41

41 = 16 + 1 = 17

17 = 1 + 49 = 50

50 = 25 + 0 = 25

25 = 4 + 25 = 29

29 = 4 + 81 = 85

85 = 64 + 25 = 89

89 = 64 + 81 = 145

145 = 1 + 16 + 25 = 42

42 = 16 + 4 = 20

20 = 4 + 0 = 4

4 = 16

16 = 1 + 36 = 37

37 = 9 + 49 = 58

58 = 25 + 64 = 89

The sequence will now loop indefinitely between 89 and 58and will never resolve to 1. Therefore 36 is not a happy number!

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