Divisor function | Integer sequences

Highly abundant number

In mathematics, a highly abundant number is a natural number with the property that the sum of its divisors (including itself) is greater than the sum of the divisors of any smaller natural number. Highly abundant numbers and several similar classes of numbers were first introduced by Pillai, and early work on the subject was done by Alaoglu and Erdős. Alaoglu and Erdős tabulated all highly abundant numbers up to 104, and showed that the number of highly abundant numbers less than any N is at least proportional to log2 N. (Wikipedia).

Highly abundant number
Video thumbnail

Awesome Number Pattern 1

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

From playlist Number Patterns

Video thumbnail

The Greatest Common Factor

This video explains how to determine the GCF of integers and expressions. http://mathispower4u.wordpress.com/

From playlist Integers

Video thumbnail

Highest Common Factor & Lowest Common Multiple - GCSE Mathematics

How to find the highest common factor and lowest common multiple (hcf and lcm) of any two numbers using prime factors. ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join

From playlist Number

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Seven Factor MegaFavoriteNumber

I might be a bit late to the #megafavnumbers party, but I decided to make this video to show an interesting idea I came up with. It took some months of insomnia to come up with this concept. I consider whether a certain string of numbers, characterized by the number of their factors, c

From playlist MegaFavNumbers

Video thumbnail

19861: A Superabundant Odyssey - #MegaFavNumbers

A tale of superabundant numbers, the Riemann Hypothesis, and a proof by assumption. This video is part of the #MegaFavNumbers collaboration: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo Special thanks to Dr. Jonathan Clark and Dr. Ben Braun for their roles in

From playlist MegaFavNumbers

Video thumbnail

Example: Determining the Greatest Common Factor

This video provides two examples of determining the greatest common factor by using prime factorization. Complete video list at http://www.mathispower4u.com

From playlist Factors, Prime Factors, and Least Common Factors

Video thumbnail

Topological structure of genotype spaces and the dynamics.. (Lecture 2) by Susanna Manrubia

PROGRAM FIFTH BANGALORE SCHOOL ON POPULATION GENETICS AND EVOLUTION (ONLINE) ORGANIZERS: Deepa Agashe (NCBS, India) and Kavita Jain (JNCASR, India) DATE: 17 January 2022 to 28 January 2022 VENUE: Online No living organism escapes evolutionary change, and evolutionary biology thus conn

From playlist Fifth Bangalore School on Population Genetics and Evolution (ONLINE) 2022

Video thumbnail

The Ecology and Evolution of Microbiomes by Akshit Goyal

COLLOQUIUM : THE ECOLOGY AND EVOLUTION OF MICROBIOMES SPEAKER : Akshit Goyal (Massachusetts Institute of Technology, USA) DATE & TIME : Mon, 04 April 2022, 14:00 to 15:30 VENUE : Online and Emmy Noether Seminar Room RESOURCES ABSTRACT Microbes are ubiquitous on Earth and dwell in dive

From playlist ICTS Colloquia

Video thumbnail

Everything Matters | Chromium | Ron Hipschman | Exploratorium

Chromium roared into view in the 1920s, giving a modern, mirror-bright shine to Art Deco and later automotive and interior designs. A brittle transition metal, chromium is alloyed with steel to produce stainless steel and plated onto metallic and other surfaces for a protective, corrosion-

From playlist Tales from the Periodic Table

Video thumbnail

SHSAT 23 - more examples

https://sites.google.com/site/teachshsat/ SHSAT and prime numbers

From playlist SHSAT - 8th Grade Samples

Video thumbnail

8B. Protein 2: Mass Spectrometry, Post-synthetic Modifications, Quantitation of Protein...

MIT HST.508 Genomics and Computational Biology, Fall 2002 Instructor: George Church View the complete course: https://ocw.mit.edu/courses/hst-508-genomics-and-computational-biology-fall-2002/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61gaHWysmlYNeGsuUI8y5GV For to

From playlist HST.508 Genomics and Computational Biology, Fall 2002

Video thumbnail

Hiroshi Akashi - Codon usage bias in Drosophila: Population genetics and comparative genomics of

PROGRAM: School and Discussion Meeting on Population Genetics and Evolution PROGRAM LINK: http://www.icts.res.in/program/PGE2014 DATES: Saturday 15 Feb, 2014 - Monday 24 Feb, 2014 VENUE: Physics Auditorium, IISc, Bangalore Just as evolution is central to our understanding of biology, p

From playlist School and Discussion Meeting on Population Genetics and Evolution

Video thumbnail

8A. Protein 2: Mass Spectrometry, Post-synthetic Modifications, Quantitation of Protein...

MIT HST.508 Genomics and Computational Biology, Fall 2002 Instructor: George Church View the complete course: https://ocw.mit.edu/courses/hst-508-genomics-and-computational-biology-fall-2002/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61gaHWysmlYNeGsuUI8y5GV Welcom

From playlist HST.508 Genomics and Computational Biology, Fall 2002

Video thumbnail

Ruedi Aebersold - The proteome in context

The question how genetic variability is translated into phenotypes is fundamental in biology and medicine. Powerful genomic technologies now determine genetic variability at a genomic level and at unprecedented speed, accuracy and (low) cost. Concurrently, life style monitori

From playlist From Molecules and Cells to Human Health : Ideas and concepts

Video thumbnail

A Model of Tumor Heterogeneity Identifies Metastatic Disease Progression - S. Knott - 1/14/16

Full Title: A Model of Tumor Heterogeneity Identifies Novel Drivers of Metastatic Disease Progression Bioinformatics Research Symposium Beckman Institute Auditorium Thursday, January 14, 2016

From playlist Bioinformatics Research Symposium

Video thumbnail

What Whole Number from 0 to 1000 Contains an "a"?

This video tells which spelling of the numbers from 0 to 1000 contain an "a".

From playlist Mathematics General Interest

Video thumbnail

Books In Browsers 2011: Brian O'Leary, "The Opportunity in Abundance"

Books In Browsers 2011: Brian O'Leary, "The Opportunity in Abundance"

From playlist Books in Browsers 2011

Related pages

If and only if | Natural number | Mathematics | Factorial | Powerful number | Superabundant number | Abundant number | Divisor function