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| − | '''Megafugasix''' is equal to 6↑↑6, or 6 [[Tetration|tetrated]] to 6. It is approximately equal to 10 |
+ | '''Megafugasix''' is equal to 6↑↑6, or 6 [[Tetration|tetrated]] to 6. It is approximately equal to \(10^{10^{10^{10^{36,305<nowiki>}}}</nowiki>}\) or \(E36,305\#4\) in [[Hyper-E notation]]. |
Googology Wiki user [[User:Hyp cos|Hyp cos]] calls this number '''hexabo''', and it's equal to s(6,6,2) in [[strong array notation]].<ref>[https://stepstowardinfinity.wordpress.com/2015/07/24/lan-numbers/ Numbers from linear array notation | Steps Toward Infinity!]</ref> |
Googology Wiki user [[User:Hyp cos|Hyp cos]] calls this number '''hexabo''', and it's equal to s(6,6,2) in [[strong array notation]].<ref>[https://stepstowardinfinity.wordpress.com/2015/07/24/lan-numbers/ Numbers from linear array notation | Steps Toward Infinity!]</ref> |
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| − | This number is also equal to s(6,2,3), s(6,2,1,2), |
+ | This number is also equal to s(6,2,3), s(6,2,1,2), s(6,2{2}2), and 3$ (the [[superfactorial]] of 3). |
== Etymology == |
== Etymology == |
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== Approximations == |
== Approximations == |
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{{approx| |
{{approx| |
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| − | |sci=<nowiki>\(10^{10^{10^{2.0692\times10^{ |
+ | |sci=<nowiki>\(10^{10^{10^{2.0692\times10^{36,305}}}}\)</nowiki>| |
| − | |chain=\(6\rightarrow6\rightarrow2\) (exact)| |
+ | |chain=\(6\rightarrow6\rightarrow2, 6\rightarrow2\rightarrow3\) (both exact)| |
| − | |beaf=\(\{6,6,2\}\) (exact)| |
+ | |beaf=\(\{6,6,2\}, \{6,2,3\}\) (both exact)| |
|hypere=\(E(6)1\#6\) (exact)| |
|hypere=\(E(6)1\#6\) (exact)| |
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| − | |hyperf=\(((( |
+ | |hyperf=\((((10,160!)!)!)!\)| |
|fast=\(f_2(f_2(f_2(f_2(f_2(13)))))\)| |
|fast=\(f_2(f_2(f_2(f_2(f_2(13)))))\)| |
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|hardy=\(H_{\omega^25}(13)\)| |
|hardy=\(H_{\omega^25}(13)\)| |
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|slow=\(g_{\varepsilon_0}(6)\) (exact)| |
|slow=\(g_{\varepsilon_0}(6)\) (exact)| |
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| + | |up = \(6 \uparrow\uparrow 6, 6 \uparrow\uparrow\uparrow 2\) (both exact)|bird = \(\{6,6,2\}, \{6,2,3\}\) (both exact)}} |
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| − | }} |
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== Sources == |
== Sources == |
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<references /> |
<references /> |
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| + | == See also == |
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{{Fuga- family}} |
{{Fuga- family}} |
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[[Category:Numbers]] |
[[Category:Numbers]] |
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[[Category:Class 5]] |
[[Category:Class 5]] |
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[[Category:Powers of 6]] |
[[Category:Powers of 6]] |
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| + | [[Category:3 entry linear]] |
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| + | [[Category:Megafuga-]] |
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Revision as of 05:25, 24 October 2019
Megafugasix is equal to 6↑↑6, or 6 tetrated to 6. It is approximately equal to \(10^{10^{10^{10^{36,305}}}}\) or \(E36,305\#4\) in Hyper-E notation.
Googology Wiki user Hyp cos calls this number hexabo, and it's equal to s(6,6,2) in strong array notation.[1]
This number is also equal to s(6,2,3), s(6,2,1,2), s(6,2{2}2), and 3$ (the superfactorial of 3).
Etymology
The name "megafugasix" is formed by adding the megafuga- prefix to 6.
The name "hexabo" is based on the word "hexa" (Greek for six), meaning a base-6 number.
Approximations
| Notation | Approximation |
|---|---|
| Arrow notation | \(6 \uparrow\uparrow 6, 6 \uparrow\uparrow\uparrow 2\) (both exact) |
| Bowers' Exploding Array Function | \(\{6,6,2\}, \{6,2,3\}\) (both exact) |
| Bird's array notation | \(\{6,6,2\}, \{6,2,3\}\) (both exact) |
| Chained arrow notation | \(6\rightarrow6\rightarrow2, 6\rightarrow2\rightarrow3\) (both exact) |
| Hyper-E notation | \(E(6)1\#6\) (exact) |
| Hyperfactorial array notation | \((((10,160!)!)!)!\) |
| Scientific notation | \(10^{10^{10^{2.0692\times10^{36,305}}}}\) |
| Fast-growing hierarchy | \(f_2(f_2(f_2(f_2(f_2(13)))))\) |
| Hardy hierarchy | \(H_{\omega^25}(13)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_0}(6)\) (exact) |
Sources
See also
Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · garmillion · gargoogol · gareceton · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwenty · fzhundred · fzthousand · fzmillion · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgargantugoogolplex · fzgiggol
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagargantugoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex · megafugagrangol
Extensions:
Booga-:: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaten · boogahundred · boogagoogol · boogagoogolplex
Gag-:: gagone · gagtwo · gagthree · gagfour · gagfive · gagsix · gagseven · gageight · gagnine · gagten · gaggoogol · gaggoogolplex