In the sense that 1, 7, 10, 13, 19... are happy numbers.
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yes, 13 is indeed happy:
13 -> 1^2 + 3^2 = 10 -> 1^2 + 0^2 = 1
That gets to 1 in two steps. Very quickly happy.
2012 is not happy. 2^2 + 0^2 + 1^2 + 2^2 = 9, and since you know that the first several happy numbers are 1, 7, 10, 13, ..., and 9 isn't one of them, that's all you need.
To continue, though, 9 -> 9^2 = 81 -> 8^2 + 1^2 = 65 -> 6^2 + 5^2 = 61
61 -> 6^2 + 1^2 = 37 -> 3^2 + 7^2 = 58 -> 5^2 + 8^2 -> 89 -> 8^2 + 9^2 = 145
145 -> 1^2 + 4^2 + 5^2 = 42 -> 4^2 + 2^2 = 20 -> 2^2 + 0^2 = 4 -> 4^2 = 16
16 -> 1^2 + 6^2 = 37
... and that's a repeat number. The sequence will loop
37 -> 58 -> 89 -> 145 -> 42 -> 20 -> 4 -> 16 -> 37
...ever after, never reaching 1.
PS: Besides, 13 is a very lucky number for some of us. Not that I believe in luck, mind you, but we all know it works even if you don't believe...
13 -> 1^2 + 3^2 = 10 -> 1^2 + 0^2 = 1
That gets to 1 in two steps. Very quickly happy.
2012 is not happy. 2^2 + 0^2 + 1^2 + 2^2 = 9, and since you know that the first several happy numbers are 1, 7, 10, 13, ..., and 9 isn't one of them, that's all you need.
To continue, though, 9 -> 9^2 = 81 -> 8^2 + 1^2 = 65 -> 6^2 + 5^2 = 61
61 -> 6^2 + 1^2 = 37 -> 3^2 + 7^2 = 58 -> 5^2 + 8^2 -> 89 -> 8^2 + 9^2 = 145
145 -> 1^2 + 4^2 + 5^2 = 42 -> 4^2 + 2^2 = 20 -> 2^2 + 0^2 = 4 -> 4^2 = 16
16 -> 1^2 + 6^2 = 37
... and that's a repeat number. The sequence will loop
37 -> 58 -> 89 -> 145 -> 42 -> 20 -> 4 -> 16 -> 37
...ever after, never reaching 1.
PS: Besides, 13 is a very lucky number for some of us. Not that I believe in luck, mind you, but we all know it works even if you don't believe...
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13 isn't a happy number... its actually a very unlucky number if your superstitious. thats why there is no 13th floor in hotels. as for 2012, most people would probably say no cause its supposed to be the end of the world, i don't believe it though. just like with horoscopes, if you believe it they will most likely be true, so just believe its a happy number and it will be!
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NO! but 13 isn't a happy number either
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No