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Colossally abundant number

In number theory, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors. Particularly, it is defined by a ratio between the sum of an integer's divisors and that integer raised to a power higher than one. For any such exponent, whichever integer has the highest ratio is a…

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History

Properties

Relation to the Riemann hypothesis

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Colossally abundant number

Nodes53
Edges52
Triples29
Avg. degree1.96
Density0.037736
Components1

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Colossally abundant number

Top relations

related to history · 11
Colossally abundant number → Colossally, His, Leonidas Alaoglu, London Mathematical Society, Paul Erdős, Ramanujan, Ramanujan's, Riemann, Robin's, The, Unfortunately
related to Properties · 9
Colossally abundant number → Bachmann, Colossally, Euler, For, Grönwall's, Hence, Mascheroni, Paul Bachmann, Thus
related to External links · 5
Colossally abundant number → Keith BriggsColossally Abundant Number, MathWorld, Notes, Riemann, Superabundant
related to Relation to abundant numbers · 4
Colossally abundant number → Also, However, Like, This

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Important terminology

abundant colossally numbers number function divisors value integer prime many superabundant sequence riemann hypothesis ratio inequality integers would values alaoglu

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Colossally abundant numberrelated to External linksSuperabundant0.60section
Colossally abundant numberrelated to External linksNotes0.60section
Colossally abundant numberrelated to External linksRiemann0.60section
Colossally abundant numberrelated to External linksKeith BriggsColossally Abundant Number0.60section
Colossally abundant numberrelated to External linksMathWorld0.60section
Colossally abundant numberrelated to historyColossally0.60section
Colossally abundant numberrelated to historyRamanujan0.60section
Colossally abundant numberrelated to historyUnfortunately0.60section
Colossally abundant numberrelated to historyLondon Mathematical Society0.60section
Colossally abundant numberrelated to historyHis0.60section
Colossally abundant numberrelated to historyRiemann0.60section
Colossally abundant numberrelated to historyRobin's0.60section

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