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(Created page with "Twenty-two (22) is a positive integer one more than 21 and one less than 23.</p> ==Properties== *22 is a composite number, factoring into 2*11. *22 is a pali...")
 
 
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== In googology ==
 
== In googology ==
Using this definition, dumevalka can be calculated as 2[2,2] = 2[[2]] = 2[2] = 22. Dutridumevalka and duquodumevalka are also equal to 22 because for any b, 2[b,2] = 2[[[..[[2]]..]]] (b brackets) = 2[[..[[2]]..]] (b-1 brackets) = 2[b-1,2], so 2[4,2] = 2[3,2] = 2[2,2] = 22. This is another example of degenerate cases in googological functions, seen with inputs of 2.
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[[Twenty-twos]], a googologism with a similar name to this number, is equal to 20 copies of 2, or 10 copies of 22.
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The numbers '''dumevalka''', '''dutridumevalka''', '''duquodumevalka''' are defined as 2[2,2], 2[3,2], 2[4,2] respectively, using SpongeTechX's [[copy notation]].<ref>[http://sites.google.com/site/stxgoogology/home/numbers-1 STX Googology]</ref> They are all equal to 22, since <nowiki>2[2,2] = 2[[2]] = 2[2] = 22, 2[3,2] = 2[[[2]]] = 2[[2]] = 22, 2[4,2] = 2[[[[2]]]] = 2[[[2]]] = 22.</nowiki>
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== Sources ==
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<references />

Latest revision as of 20:20, February 4, 2018

Twenty-two (22) is a positive integer one more than 21 and one less than 23.</p>

PropertiesEdit

  • 22 is a composite number, factoring into 2*11.
  • 22 is a palindrone; switching the digits makes no change to its value.
  • 22 is known as a repdigit because it is made exclusively of 2's.

In googology Edit

Twenty-twos, a googologism with a similar name to this number, is equal to 20 copies of 2, or 10 copies of 22.

The numbers dumevalka, dutridumevalka, duquodumevalka are defined as 2[2,2], 2[3,2], 2[4,2] respectively, using SpongeTechX's copy notation.[1] They are all equal to 22, since 2[2,2] = 2[[2]] = 2[2] = 22, 2[3,2] = 2[[[2]]] = 2[[2]] = 22, 2[4,2] = 2[[[[2]]]] = 2[[[2]]] = 22.

Sources Edit

  1. STX Googology
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