Divisor function | Integer sequences

Colossally abundant number

In mathematics, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors. Formally, a number n is said to be colossally abundant if there is an ε > 0 such that for all k > 1, where σ denotes the sum-of-divisors function. All colossally abundant numbers are also superabundant numbers, but the converse is not true. The first 15 colossally abundant numbers, 2, 6, 12, 60, 120, 360, 2520, 5040, 55440, 720720, 1441440, 4324320, 21621600, 367567200, 6983776800 (sequence in the OEIS) are also the first 15 superior highly composite numbers, but neither set is a subset of the other. (Wikipedia).

Colossally abundant number
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Awesome Number Pattern 1

Exploring an amazing pattern that forms when we multiply numbers built only with the one digit

From playlist Number Patterns

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MegaFavNumbers: 2^602,214,076,000,000,000,000,000 and other Very Large Numbers

My contribution to the #MegaFavNumbers project, exploring the massive numbers found in statistical mechanics. My blog, Science Meets Fiction: https://sciencemeetsfiction.com Statistical mechanics on Wikipedia: https://en.wikipedia.org/wiki/Statistical_mechanics

From playlist MegaFavNumbers

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There are a lot more numbers than I thought there were - MegaFavNumbers

A short video detailing my favorite number larger than 1 million! There are so many numbers out there it was hard to choose from, but I’m glad I could participate in the #MegaFavNumbers series

From playlist MegaFavNumbers

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MegaFavNumbers: 1.5 Billion

#MegaFavNumbers What’s your Mega Favourite Number?

From playlist MegaFavNumbers

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MegaFavNumbers | 8.07x10^67 vs. 137,327,459,106,673,000,000,000,000,000,000,000,000,000,000,000,000

This video compares the number of ways to shuffle a deck of cards to the number of atoms on Earth. #MegaFavNumbers 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,824,000,000,000,000 vs 137,327,459,106,673,000,000,000,000,000,000,000,000,000,000,000,000.00

From playlist MegaFavNumbers

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The colossal problem with universal income | #7 of Top 10 2019 | Big Think

The colossal problem with universal income Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Big Think's #7 most popular video

From playlist Top Videos of 2019

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The colossal problem with universal basic income | Douglas Rushkoff | Big Think

The colossal problem with universal basic income New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Universal basic income

From playlist Universal basic income | Big Think

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Abundant, Deficient, and Perfect Numbers ← number theory ← axioms

Integers vary wildly in how "divisible" they are. One way to measure divisibility is to add all the divisors. This leads to 3 categories of whole numbers: abundant, deficient, and perfect numbers. We show there are an infinite number of abundant and deficient numbers, and then talk abou

From playlist Number Theory

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J.-M. Martell - A minicourse on Harmonic measure and Rectifiability (Part 3)

Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good properties of the associated elliptic measure. In the context of domains having an Ahlfors regular boundary and satisfying theso-called interior corkscrew and Harnack chain conditions (these ar

From playlist Rencontres du GDR AFHP 2019

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MegaFavNumbers: Plus One Primes, 154,641,337, and 62,784,382,823

My entry in the #MegaFavNumbers series looks at a particularly striking example of a very specific family of primes -- and how it connects to what digits can be the final digit of primes in different bases.

From playlist MegaFavNumbers

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Will the Universe Run Out Of Energy?

It seems like the good times will go on forever, so feel free to keep on wasting energy. But entropy is patient, and eventually, it'll make sure there's no usable energy left in the Universe. Support us at: http://www.patreon.com/universetoday More stories at: http://www.universetoday.com/

From playlist The Universe

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BOZZETTO STYLE The Renaissance Sculptor’s Handiwork - Irving Lavin

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From playlist CASVA symposium

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What If Dark Matter Is Just Black Holes?

PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE ↓ More info below ↓ Sign Up on Patreon to get access to the Space Time Discord! https://www.patreon.com/pbsspacetime It may be that for every star in the universe there are b

From playlist Dark Matter Explained!

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Other Earths: The Search for Habitable Planets - 4k

Our galaxy is made up of some four hundred billion stars and at least a hundred billion planets. How many are like Earth, with an atmosphere, flowing water, complex geology, and abundant life? Astronomers are seeking answers in countless photons racing past the Earth and in bold new theori

From playlist SpaceRip 4K

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MegaFavNumbers - 2,147,483,647

On james grime's request here is my favorite number over one million. Honorable Mention to 1,000,001 for being a the smallest integer MegaFavNumber as well as for being a palindrome. But sadly it's not a prime. #MegaFavNumbers

From playlist MegaFavNumbers

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HowStuffWorks - Wood Appeal

Trees are among the larges and oldest living organisms on Earth. Wood is also stronger than steel. Learn more about this remarkable commodity from the "HowStuffWorks" show on Discovery Channel. Watch more at http://dsc.discovery.com/tv/how-stuff-works/how-stuff-works.html

From playlist HowStuffWorks: Season 1

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Were These Monsters Inspired by Fossils? (w/ Monstrum!)

PBS Member Stations rely on viewers like you. To support your local station, go to http://to.pbs.org/DonateEons Check out Monstrum's full episode on Cyclops: https://youtu.be/s-pMfIWl4kI People have been discovering the traces and remains of prehistoric creatures for thousands of years. A

From playlist Monsters and Mystery

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Keas – New Zealand’s Witty Daredevils | Free Documentary Nature

Keas - New Zealand's Witty Daredevills | Nature Documentary Watch 'Magical Moors - A Mysterious World Full of Life' here: https://youtu.be/LxYT7QMT_pA There are parrots that totally break the stereotypes: the keas in New Zealand just love snow and the cold, harsh mountain climate. To sur

From playlist Birds

Related pages

Converse (logic) | Paul Gustav Heinrich Bachmann | Four exponentials conjecture | Riemann hypothesis | Conjecture | Six exponentials theorem | Mathematical proof | Rational number | Superabundant number | Harmonic number | Square (algebra) | Transcendental number theory | Highly composite number | Natural number | Leonidas Alaoglu | Mathematics | Function (mathematics) | Integer | Real number | Divisor | Superior highly composite number | Srinivasa Ramanujan | Prime number | Semiprime | Inequality (mathematics) | Paul Erdős | Divisor function | Carl Ludwig Siegel