Sep
23rd
2012
Happy Math · 10:25pm Sep 23rd, 2012
Static Shock
Chat Room:
[18:06] <Static_Shock> If you square the digits to a number, and add them up, you'll end up with a new number.
[18:06] <Static_Shock> Keep doing that. If you end up with 1, the number is happy.
Really . . .
71 → 50 → 25 → 29 → 85 →
153
This number is obviously unhappy . . . I'm gonna stop now.
EDIT: Why does everything lead back to 153!!?
[18:13] <Static_Shock> 126 -> 41 -> 17 -> 50 -> 25 -> 29 -> 85 -> 89 -> 153
[18:13] <Static_Shock> We've already concluded that 153 ends up in a loop.
GAH!
Note: This
is 153 size
font.
Wat...
378224
7 squared = 49
1 squared = 1
49+1=50
And so on and so forth . . .
...it's Sunday, why are you doing math? For that matter, why do I have pants on? Actually, leave that latter one unanswered. =3
378231 Your profile picture. THAT. IS. ALL.
I continued with this thing you did: 85 (64 + 25) = 89 (64 + 81) = 145 (1 + 16 + 25) = 42 (16 + 4) = 20 (4 + 0) = 4 (16) = 16 (1 + 36) = 37 (9 + 49) = 58
58 and 85 would be the same thing here, so following all the math, if I've done this correctly, would create an infinite loop. All the same, the number will never be happy.
19 is a happy number.
19 = 82 = 68 = 100 = 1!
Huzzah!
378242
153 is one of those numbers that loops.
Any number that falls with it just continues in a loop.
378233
Blame StaticShock; he's in the chat room and he got me in a math-ish mood.
378240
IKR?
378258
I think you missed this: 126 -> 41 -> 17 -> 50 -> 25 -> 29 -> 85 -> 89 -> 153
378255
Which also means 68, 82, and 100 are also happy.
YAY!
378273 Pythagorean Theorem FTW!
91, 86, and 28 are also happy numbers, as are 10^x, x being anything.
378277
I knew I liked you the first time i heard about you!
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Wait, Pythagorean Theorem?
SEEMS LEGIT
378289 Lemme explain:
The Pythagorean theorem states that a^2 + b^2 = c^2, and there's a 3-4-5 rule with right triangles that state that 3x^2 + 4x^2 = 5x^2. I knew that to get a number "happy", it would have to have one a 1 and some zeros, and the number 100 came to mind. 100 is 5(2)^2, and so 3(2)^2, or 36, and 4(2)^2, or 64, would add up to equal 100. 36 + 64 = 100. I knew 36 was 6^2 and 64 was 8^2, so I put them together. 68. I just experimented with squares from there.
68 = 64 (8^2) + 4 (2^2) = 82.
82 = 1 (1^2) + 81 (9^2) = 19.
... Ta da!
And you first heard about me from "I Love You, Princess Luna," right? If so, I'm glad to have made your acquaintance (and also thank you for your help that I will not mention here).
378300
The world now makes so much sense . . .
JK
Yes, I was glad to help with that story. It was no problem whatsoever.