Friday, February 17, 2017

Staking My Claim On Happy Numbers

This is real math related, so it's mine. These gematrichuckleheads better not touch this. I'm announcing it because it sounds like something they would try to use.


Again Chucky used a variation of a trick to create a new number from a different number. 166 what you,re looking for and you can't find it in a SouthbPark episode? Try spelling out different numbers you did find. Now "Thirty Seven" becomes any of a plethora of different numbers depending on the numbering convention applied.




The first time I saw this was a date and the year was spelled out. I don't remember what year it was but if it was last year it was "Two Thousand Sixteen". Yesterday Chucky posted a year written out with a big difference. "Twenty Thousand ****and***** Seventeen."


Now there are two different numbers to choose from whether you use the 'and' or not.


I have mentioned the flaw of this cheat before. 166 was changed to 95 by writing out 166 as One Hundred Sixty Six. 95 was the target, so that was the end if their chapter. Of course Ninety Five spelled out yields a different number. Eventually you get what I'm going to call the Golden Gematriloop or the Fruit Loop.*


This loopiness and some gematria calculations using adding digits together reminds me of the mathematical idea known as happy numbers. No, I did not create this. It has no useful value in real life, and limited value in math calculations/theory.


Take each digit and square it. If you started with a multi-digit number add the squares of the digits together. Repeat. Eventually there has to be one of two results. Either you finally get to 1, which squared is still one and will remain one, or you get stuck in an infinite loop that never results in one. Those numbers that end at one are referred to as happy numbers. It is a punny coincidence that I can refer to the other numbers that aren't happy as being stuck in the Cheerios Loop.


There is no good explanation why 166 changes to 95 in the way they change it and never proceeds to the next step. I certain don't give them the benefit if the doubt to even realize that the Fruit loop exists.


So, is your favorite number happy?


*- For the record the Fruit Loop is 216, 228, 288, 255, 240. It doesn't matter where you start eventually you get stuck in this chain. Other numbers eventually lead to getting stuck in this chain. Larger numbers may (probably do) exist in different loops, but considering they never play with anything more than three digits I don't need to research any more.

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