Deeply deeply agree with you. Not whoever was arguing. :) My "dialup" VM in the cloud I use for assorted things has had the same IP for at least 7 years, probably longer. (Thanks Linode!) After a few years, it's honestly not that hard to remember an arbitrary 32bit int. :)
$ w3m -dump http://846235814 # ;)Thank you for stating the truth.
FWIW, I still memorize phone numbers too! I also avoid phone calls like the plague, so in reality it's just a handful of numbers per year.