The Surprising Mysteries of Multiplying Digits

Let me show you how repeatedly multiplying a number's digits leads to some surprising mysteries and amazing patterns, in Base Ten as well as within other bases and underrated corners.... [Disclaimer: Do not copy anything involving doors and/or fire that you may see in this video!] Here are timestamps of different chapters (although I hope you try watching the whole thing in order first!) 0:00 - Introdoorction 1:03 - The Massive Heights of Additive Persistence 4:25 - Multiplicative Persistence and the Base Ten Record-Breakers 7:40 - Alternate Bases and the Limits of Binary 9:50 - Base Three and the Anomalies of 0 and 1 11:47 - Powers of 2 in Base Three 14:20 - Zerofree Numbers of Different Sequences 17:35 - Base Four and Digit Combinations That Are Too Powerful 20:27 - Base Five and Digit Combinations That Are Too Inefficient 23:14 - The Shift That Occurs After Base Five 25:15 - Using All Those Patterns to Explain Base Ten’s Record-Breakers 29:28 - Larger Numbers and The Shift in Nontrivial Possibilities 32:58 - The Huge Implications That Might Apply to All Bases 35:32 - Further Lists of Record-Breakers and Conjectured Maximums 38:05 - Absolute Multiplicative Persistence and the Fair Record-Breakers 41:20 - Fixing the Problem With Zero 43:40 - A Variation Sequence With a Lot of Potential 45:52 - The Mysterious Array of Unknown Data 47:04 - Outrodoorction This episode was created entirely by me (Domotro). I filmed all of the clips myself with a tripod, edited it, made all of the music, and designed all graphics (apart from a few diagrams that I specified were from a particular article when I showed them), etc. If you enjoy my videos, please consider supporting on Patreon (or on the Youtube memberships on my @Domotro channel) :   / comboclass   (You will get your name in the credits of my upcoming, and also get some secret bonus content. And in general it helps me to continue making videos that don't include any sponsorships from companies.) Catch up on the earlier episodes of Grade -3 with this chronological playlist:    • Combo Class: Grade -3 (currently in session)   (the "playlists" section of this channel also has playlists for Grade -1 and Grade -2, and some other playlists related to different topics) Bonus channel:    / @domotro   Combo Class Discord:   / discord   Subreddit:   / comboclass   My email (for potential collaborations or stuff) is on the about page of this channel. Feel free to email me, but I may not reply right away.