Pi Task

Here are some relatively well-known 'curiosities':
The natural numbers have, on average, π/4 more divisors congruent to 1 (mod 4) than 3 (mod 4).

The probability of a natural number being indivisible by a square (a square greater than one that is) is 6/π2.

(Putnam 1993/B3) If x and y are numbers randomly selected from the range (0,1), the probability of the closest natural number to x/y being even is (5-π)/4.

Also I've always found Cloitre's curation to be exceptionally interesting.
http://www.pi314.net/eng/arith.php

>>8730313
QUICK FACT:

If you could count all the numbers in pi, it would take a reaaaaaaaaally long time.

>>8730313
QUICK FACT:

If you could divide a circle's diameter by that circle's diameter, it would be exactly equal as pi over pi.

>>8730313
Quick fact:

If you were to use every digit of pi and define an infinite series summing up the inverse of each digit, the result would be bigger than pi

>>8731183
>>8731185
>>8731202
moarrrr

>>8730313
QUICK FACT:
if you divide pi^2 by pi you get pi

>>8731229
QUICK FACT:
If you could mouth the numbers to our at near C you would create a pocket universe around you with a diameter of Pi and a bed for your waifu.

QUICK FACT:
Pi is not real.

>>8730313
sum of the digits of pi = -1/12