Difference between revisions of "Template:Divisor classes"
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imported>DSisyphBot m (r2.5.1) (Robot: Adding eo, fr, sl, th) |
imported>PrimeHunter (Undid revision 954673663 by 87.95.193.244 (talk). No good reason for a red link here) |
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{{Navbox | {{Navbox | ||
| − | |name | + | | name = Divisor classes |
| − | |title | + | | state = {{{state|<includeonly>{{{1|collapsed}}}</includeonly>}}} |
| − | |image | + | | title = Divisibility-based sets of integers |
| − | | | + | | image = [[File:Lattice of the divisibility of 60.svg|175px|Divisibility of 60]] |
| + | | listclass = hlist | ||
| − | |group1 | + | | group1 = Overview |
| − | |list1 | + | | list1 = |
| + | * [[Integer factorization]] | ||
| + | * [[Divisor]] | ||
| + | * [[Unitary divisor]] | ||
| + | * [[Divisor function]] | ||
| + | * [[Prime factor]] | ||
| + | * [[Fundamental theorem of arithmetic]] | ||
| − | |group2 | + | | group2 = Factorization forms |
| − | |list2 | + | | list2 = |
| + | * [[Prime number|Prime]] | ||
| + | * [[Composite number|Composite]] | ||
| + | * [[Semiprime]] | ||
| + | * [[Pronic number|Pronic]] | ||
| + | * [[Sphenic number|Sphenic]] | ||
| + | * [[Square-free integer|Square-free]] | ||
| + | * [[Powerful number|Powerful]] | ||
| + | * [[Perfect power]] | ||
| + | * [[Achilles number|Achilles]] | ||
| + | * [[Smooth number|Smooth]] | ||
| + | * [[Regular number|Regular]] | ||
| + | * [[Rough number|Rough]] | ||
| + | * [[Unusual number|Unusual]] | ||
| − | |group3 | + | | group3 = Constrained divisor sums |
| − | |list3 | + | | list3 = |
| + | * [[Perfect number|Perfect]] | ||
| + | * [[Almost perfect number|Almost perfect]] | ||
| + | * [[Quasiperfect number|Quasiperfect]] | ||
| + | * [[Multiply perfect number|Multiply perfect]] | ||
| + | * [[Hemiperfect number|Hemiperfect]] | ||
| + | * [[Hyperperfect number|Hyperperfect]] | ||
| + | * [[Superperfect number|Superperfect]] | ||
| + | * [[Unitary perfect number|Unitary perfect]] | ||
| + | * [[Semiperfect number|Semiperfect]] | ||
| + | * [[Practical number|Practical]] | ||
| + | * [[Erdős–Nicolas number|Erdős–Nicolas]] | ||
| − | |group4 | + | | group4 = With many divisors |
| − | |list4 | + | | list4 = |
| + | * [[Abundant number|Abundant]] | ||
| + | * [[Primitive abundant number|Primitive abundant]] | ||
| + | * [[Highly abundant number|Highly abundant]] | ||
| + | * [[Superabundant number|Superabundant]] | ||
| + | * [[Colossally abundant number|Colossally abundant]] | ||
| + | * [[Highly composite number|Highly composite]] | ||
| + | * [[Superior highly composite number|Superior highly composite]] | ||
| + | * [[Weird number|Weird]] | ||
| − | |group5 | + | | group5 = [[Aliquot sequence]]-related |
| − | |list5 | + | | list5 = |
| + | * [[Untouchable number|Untouchable]] | ||
| + | * [[Amicable numbers|Amicable]] | ||
| + | * [[Sociable number|Sociable]] | ||
| + | * [[Betrothed numbers|Betrothed]] | ||
| − | |group6 | + | | group6 = [[Radix|Base]]-dependent |
| − | |list6 | + | | list6 = |
| + | * [[Equidigital number|Equidigital]] | ||
| + | * [[Extravagant number|Extravagant]] | ||
| + | * [[Frugal number|Frugal]] | ||
| + | * [[Harshad number|Harshad]] | ||
| + | * [[Polydivisible number|Polydivisible]] | ||
| + | * [[Smith number|Smith]] | ||
| + | | group7 = Other sets | ||
| + | | list7 = | ||
| + | * [[Arithmetic number|Arithmetic]] | ||
| + | * [[Deficient number|Deficient]] | ||
| + | * [[Friendly number|Friendly]] | ||
| + | * [[Friendly number#Solitary numbers|Solitary]] | ||
| + | * [[Sublime number|Sublime]] | ||
| + | * [[Harmonic divisor number|Harmonic divisor]] | ||
| + | * [[Descartes number|Descartes]] | ||
| + | * [[Refactorable number|Refactorable]] | ||
| + | * [[Superperfect number|Superperfect]] | ||
| + | |||
| + | }}<noinclude> | ||
| + | {{documentation|content= | ||
| + | |||
| + | {{collapsible option |statename=optional |default=collapsed}} | ||
| + | |||
| + | ==See also== | ||
| + | *{{tl|Classes of natural numbers}} | ||
| + | |||
| + | [[Category:Mathematics navigational boxes]] | ||
}} | }} | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
</noinclude> | </noinclude> | ||
Latest revision as of 08:39, 19 December 2020
Initial visibility: currently defaults to collapsed
To set this template's initial visibility, the |state= parameter may be used:
|state=collapsed:{{Divisor classes|state=collapsed}}to show the template collapsed, i.e., hidden apart from its title bar|state=expanded:{{Divisor classes|state=expanded}}to show the template expanded, i.e., fully visible|state=autocollapse:{{Divisor classes|state=autocollapse}}
If the |state= parameter in the template on this page is not set, the template's initial visibility is taken from the |default= parameter in the Collapsible option template. For the template on this page, that currently evaluates to collapsed.
See also
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