Difference between revisions of "Template:Divisor classes"

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{| style="width: 15em; float: right; text-align: center; border: 2px solid #062; border-collapse: collapse; margin-left: 1em; margin-bottom: 1em; font-size: smaller;"
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{{Navbox
|-
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|name      = Divisor classes navbox
| style="text-align: center; padding: 0.5em; background: white; color: #062; font-size: medium;" | '''Divisibility-based<br/> sets of integers'''
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|title      = Divisibility-based sets of integers
|-
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|image      = [[File:Lattice of the divisibility of 60.svg|200px|]]
| style="padding-left: 1em; text-align: left; border-top: 1px solid #062;" | ''Forms of factorization:''
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|state      = collapsed
|-
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| [[Prime number]]
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|group1    = Overview
|-
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|list1    = [[Integer factorization]]{{·}} [[Divisor]]{{·}} [[Unitary divisor]]{{·}} [[Divisor function]]{{·}} [[Prime factor]]{{·}} [[Fundamental theorem of arithmetic]]
| [[Composite number]]
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|-
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|group2    = Forms of factorization
| [[Powerful number]]
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|list2      = [[Prime number]]{{·}} [[Composite number]]{{·}} [[Semiprime|Semiprime number]]{{·}} [[Pronic number]]{{·}} [[Sphenic number]]{{·}} [[Square-free integer|Square-free number]]{{·}} [[Powerful number]]{{·}} [[Perfect power]]{{·}} [[Achilles number]]{{·}} [[Smooth number]]{{·}} [[Regular number]]{{·}} [[Rough number]]{{·}} [[Unusual number]]
|-
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| [[Square-free integer|Square-free number]]
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|group3    = Constrained divisor sums
|-
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|list3      = [[Perfect number]]{{·}} [[Almost perfect number]]{{·}} [[Quasiperfect number]]{{·}} [[Multiply perfect number]]{{·}} [[Hyperperfect number]]{{·}}  [[Superperfect number]]{{·}} [[Unitary perfect number]]{{·}} [[Semiperfect number]]{{·}} [[Primitive semiperfect number]]{{·}} [[Practical number]]
| [[Achilles number]]
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|-
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|group4    = Numbers with many divisors
| style="padding-left: 1em; text-align: left; border-top: 1px solid #062;" | ''Constrained divisor sums:''
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|list4    = [[Abundant number]]{{·}} [[Primitive abundant number]]{{·}} [[Highly abundant number]]{{·}} [[Superabundant number]]{{·}} [[Colossally abundant number]]{{·}} [[Highly composite number]]{{·}} [[Superior highly composite number]]{{·}} [[Weird number]]
|-
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| [[Perfect number]]
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|group5    = Numbers related<br/>to [[aliquot sequence]]s
|-
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|list5    = [[Untouchable number]]{{·}} [[Amicable number]]{{·}} [[Sociable number]]
| [[Almost perfect number]]
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|-
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|group6    = Other
| [[Quasiperfect number]]
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|list6    = [[Deficient number]]{{·}} [[Friendly number]]{{·}} [[Friendly number#Solitary numbers|Solitary number]]{{·}} [[Sublime number]]{{·}} [[Harmonic divisor number]]{{·}} [[Frugal number]]{{·}} [[Equidigital number]]{{·}} [[Extravagant number]]
|-
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| [[Multiply perfect number]]
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}}
|-
 
| [[Hyperperfect number]]
 
|-
 
| [[Superperfect number]]
 
|-
 
| [[Unitary perfect number]]
 
|-
 
| [[Semiperfect number]]
 
|-
 
| [[Primitive semiperfect number]]
 
|-
 
| [[Practical number]]
 
|-
 
| style="padding-left: 1em; text-align: left; border-top: 1px solid #062;" | ''Numbers with many divisors:''
 
|-
 
| [[Abundant number]]
 
|-
 
| [[Primitive abundant number]]
 
|-
 
| [[Highly abundant number]]
 
|-
 
| [[Superabundant number]]
 
|-
 
| [[Colossally abundant number]]
 
|-
 
| [[Highly composite number]]
 
|-
 
| [[Superior highly composite number]]
 
|-
 
| style="padding-left: 1em; text-align: left; border-top: 1px solid #062;" | ''Other:''
 
|-
 
| [[Untouchable number]]
 
|-
 
| [[Deficient number]]
 
|-
 
| [[Weird number]]
 
|-
 
| [[Amicable number]]
 
|-
 
| [[Friendly number]]
 
|-
 
| [[Sociable number]]
 
|-
 
| [[Solitary number]]
 
|-
 
| [[Sublime number]]
 
|-
 
| [[Harmonic divisor number]]
 
|-
 
| [[Frugal number]]
 
|-
 
| [[Equidigital number]]
 
|-
 
| [[Extravagant number]]
 
|-
 
| style="padding-left: 1em; text-align: left; border-top: 1px solid #062;" | ''See also:''
 
|-
 
| [[Divisor function]]
 
|-
 
| [[Divisor]]
 
|-
 
| [[Prime factor]]
 
|-
 
| [[Factorization]]
 
|-
 
| style="text-align: right;" | {{navbar|Divisor classes}}
 
|}
 
 
<noinclude>
 
<noinclude>
 
[[Category:Mathematics templates|{{PAGENAME}}]]
 
[[Category:Mathematics templates|{{PAGENAME}}]]
[[eo:Ŝablono:Nombroj laŭ dividantoj]]
 
[[fr:Modèle:Ensembles de divisibilité]]
 
[[sl:Predloga:Razredi deljivosti]]
 
[[th:แม่แบบ:ตัวหารจำนวนเต็ม]]
 
 
</noinclude>
 
</noinclude>

Revision as of 02:23, 21 October 2010