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

Revision as of 02:22, 21 October 2010