Here is my number today:

From Random Graphic Images |

See this post to understand why I think that figuring out why the prime factorization of my Char-Grill number is cool.

Also, since this was not too hard to figure out. I started thinking what else can I do with this number.

A good idea is to compute the value of Euler’s Totient Function at that number.

Here is the definition of

The number of positive integers less than or equal to n that are co-prime to n.

Two positive integers are co-prime if they share no common factors other than one.

So it turns out that is multiplicative which means

And it also turns out that:

If you put this together with and note that

and

then

And applying the totient function to the prime factorization of a number yields:

where is the number of prime factors of

And now since we get

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