RE:
A Mathematician's Nightmare
...while odd ones climb
by half themselves
then half a dollar more
to keep the numbers whole.
...
(As you can check with the applet, the first time the price
happens to be lower than the original $27 comes on the 59th day.
Short time afterwards, on day 110, the iterations enter the
4, 2, 1 loop.)

Did you fail to notice that the poem is using (3n+1)/2?

There is no 4,2,1 loop. The loop would be 2,1.

>There is no 4,2,1 loop. The loop would be 2,1.

Yes, thank you.