Abundant, Deficient, and Perfect Numbers ← Number Theory ← Socratica @Socratica
Abundant, Deficient, and Perfect Numbers ← Number Theory ← Socratica  @Socratica
Uploaded September 2023 | Updated September 2026, 2 weeks ago
𝙎𝙞𝙜𝙣 𝙪𝙥 for Number Theory course (coming soon) on our website:
socratica.com/courses/number-theory

In ancient times, integers were simply called "numbers", hence "number theory". Scholars pulled apart numbers - slicing and dicing them - looking for interesting properties which might explain things like why a month is ~28 days long. One approach involved looking at the divisors of an integer. Integers with a LOT of divisors were called "abundant". Those were very few were called "deficient". And some integers seemed to have a near-magical number of divisors and were called "perfect".

In this lesson we'll explore abundant, deficient, and perfect numbers.

If you like what we do, please consider supporting us on Patreon:
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Written & Produced by Michael Harrison
Edited by Megi Shuke

About our Instructor:

Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google.

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#mathematics
#socratica
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