superabundant number - EAS
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See all on Wikipediahttps://en.wikipedia.org/wiki/Superabundant_numberIn mathematics, a superabundant number (sometimes abbreviated as SA) is a certain kind of natural number. A natural number n is called superabundant precisely when, for all m < n where σ denotes the sum-of-divisors function (i.e., the sum of all positive divisors of n, including n itself). The first few superabundant … See more
Leonidas Alaoglu and Paul Erdős (1944) proved that if n is superabundant, then there exist a k and a1, a2, ..., ak such that
where pi is the i-th prime number, and
That is, they proved that if n is superabundant, the … See moreThe generalized -super abundant numbers are those such that for all , where is the sum of the -th powers of the divisors of .
1-super abundant numbers are superabundant … See moreWikipedia text under CC-BY-SA license- https://www.geeksforgeeks.org/superabundant-numbers
WebApr 22, 2021 · Superabundant Numbers. A number is a Superabundant Number if sigma (n)/n > sigma (m)/m for all m < n, where sigma is the sum of the divisors of n. 1, 2, 4, 6, …
- https://mathworld.wolfram.com/SuperabundantNumber.html
WebDownload Wolfram Notebook. A superabundant number is a composite number such that for all , where is the divisor function. Superabundant numbers are closely related to highly …
- https://simple.wikipedia.org/wiki/Superabundant_number
- Any natural number n is called superabundant when a certain equationis true. 1. σ ( m ) m < σ ( n ) n {\displaystyle {\frac {\sigma (m)}{m}}<{\frac {\sigma (n)}{n}}} In this equation, m is every integer less than n. σ is the sum of every positive divisorof that number. An example would be to use the number 9. For every number less than 8, the sigma...
- https://www.liquisearch.com/superabundant_number
WebIn mathematics, a superabundant number (sometimes abbreviated as SA) is a certain kind of natural number. Formally, a natural number n is called superabundant precisely …
Superabundant number - HandWiki
https://handwiki.org/wiki/Superabundant_numberWebThe first few superabundant numbers are 1, 2, 4, 6, 12, 24, 36, 48, 60, 120, ... (sequence A004394 in the OEIS). For example, the number 5 is not a superabundant number …
- https://en.wiktionary.org/wiki/superabundant_number
Web1) A number n {\displaystyle n} is called superabundant if σ ( n ) n > σ ( m ) m {\displaystyle {\frac {\sigma (n)} {n}}> {\frac {\sigma (m)} {m}}} for all m {\displaystyle m} …
- https://infogalactic.com/info/Superabundant_number
WebIn mathematics, a superabundant number(sometimes abbreviated as SA) is a certain kind of natural number. A natural number nis called superabundant precisely when, for all …
superabundant number: meaning, synonyms - WordSense …
https://www.wordsense.eu/superabundant_numberWebsuperabundant number (pl. superabundant numbers) Used other than figuratively or idiomatically: see superabundant, number (number theory) A positive integer whose …
superabundant numbers: meaning, synonyms - WordSense …
https://www.wordsense.eu/superabundant_numbersWebsuperabundant number (English) Noun superabundant number (pl. superabundant numbers) Used other than figuratively or idiomatically: see superabundant, number …
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