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Let me tell you about "friendly numbers" and "solitary numbers". Along the way we will meet "multiperfect numbers", level -1 of the divisor function, a mystery about the number 10, and more! Here are some episodes about semi-related topics I've made in the past: About aliquot sums and fun nicknames - • 13 Special Types of Numbers With Strange N... About how perfect numbers relate to primes - • Hyperelevens (and the Largest Primes Ever ... Make sure you're also tuned in to my @Domotro channel for my livestreams, shorts, and other bonus content! This episode was filmed by Carlo Trappenberg, and was directed / edited / soundtracked by me (Domotro). Special thanks to Evan Clark and to all of my Patreon supporters: Max, George Carozzi, Peter Offut, Tybie Fitzhugh, Henry Spencer, Mitch Harding, YbabFlow, Joseph Rissler, Plenty W, Quinn Moyer, Julius 420, Philip Rogers, Ilmori Fajt, Brandon, August Taub, Ira Sanborn, Matthew Chudleigh, Cornelis Van Der Bent, Craig Butz, Mark S, Thorbjorn M H, Mathias Ermatinger, Edward Clarke, and Christopher Masto, Joshua S, Joost Doesberg, Adam, Chris Reisenbichler, Stan Seibert, Izeck, Beugul, OmegaRogue, Florian, William Hawkes, Michael Friemann, Claudio Fanelli, The Green Way, Julian Zassenhaus, Bailey Douglass, Jan Bosenberg, Brooks Boutwell, David Irvine, qe, George Sharabidze, Jack Dwyer, and Fredrik! Check out the Combo Class Patreon at / comboclass If you want to mail me anything (such as any clocks/dice/etc. that you'd like to see in the background of Grade -2), here's my private mailbox address (not my home address). If you're going to send anything, please watch this short video first: • Видео Domotro 1442 A Walnut Street, Box # 401 Berkeley, CA 94709 Come chat with other combo lords on the Discord server here: / discord and there is a subreddit here: / comboclass If you want to try to help with Combo Class in some way, or collaborate in some form, reach out at combouniversity(at)gmail(dot)com In case anybody searches any of these terms, topics discussed in this video include: the divisor function, sum of divisor function, sigma function, aliquot sums, factors/divisors, proper divisors, perfect numbers, multiperfect numbers, hemiperfect numbers, abundant numbers, deficient numbers, friendly numbers, solitary numbers, cats, squirrels, and lots of other cool things