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
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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)
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