24 2² + 4² = 20 2² + 0² = 4 My birthdate is not a happy number. That explains a lot.
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arent you supposed to keep going tho?
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#!/usr/bin/python3 def IsHappy(s): while s > 9: s = sum([int(i) ** 2 for i in str(s)]) if s == 1: return True for i in range(10000): if IsHappy(i): print(i) 1 10 13 19 23 28 31 32 44 49 68 70 79 82 86 91 94 97 100 103 109 129 130 133 ...
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07 is also a happy number
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I started with 37 and returned to 37, isn't that happy enough? 37-58-89-145-42-20-4-16-37
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Would that make 37 a boomerang number?
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Assuming a binary variant of happy numbers, all numbers > 0 are happy.
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Proof: The derivation sequence of n > 1 is strictly monotonic decreasing and it never reaches 0.
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There is an infinite number of them! (All the power of ten are happy ). So unlimited happyness :)
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Any number written using exactly the digits of a happy number is happy Any power of ten time a happy number is happy
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. Can you derive some properties of Happy Numbers?