Divisor function | Integer sequences
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).
Exploring an amazing pattern that forms when we multiply numbers built only with the one digit
From playlist Number Patterns
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
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
#MegaFavNumbers The biggest known prime
From playlist MegaFavNumbers
#MegaFavNumbers What’s your Mega Favourite Number?
From playlist MegaFavNumbers
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
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
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
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
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
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
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
BOZZETTO STYLE The Renaissance Sculptor’s Handiwork - Irving Lavin
May 25 IAS VISUAL ARTS Introducton: Horst Bredekamp Lecture: Irving Lavin, “BOZZETTO STYLE”. The Renaissance Sculptor’s Handiwork
From playlist CASVA symposium
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!
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
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
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
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
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