Anywho.
I learned about happy numbers from Doctor Who (because I'm a crazed little fangirl. You should really know this by now) but my head about exploded when the Doctor rattled off this explination at about a hundred miles an hour. It was only after staring at it in written form for about a minute that it actually made since. Here it is:
"Any number that reduces to one when you take the sum of the square of its digits and continue iterating it until it yields one is a happy number, and any number that doesn't, isn't. A happy prime is both happy and prime."
stare at it. STARE AT IT.
Now. Demonstrations!
Let's start with 97 again.
First, you take the number and separate it into its digits.
97
9 7
Now you square the separate digits.
2 2
9 7
and add them.
81 49
81 + 49
130
"And continue iterating it until it yields one."
1 3 0
1 + 9 + 0
10
1 0
1 + 0
1
It's a happy number!! :D
P.S. If you're confused, that means you're human.
If you did not get confused, at any point while reading this blog, I may have to hate you.
:)

