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Wiki user [[User:Hyp cos|Hyp cos]] calls this number a '''tribo''', and it's equal to s(3,3,2), s(3,2,3), s(3,2,1,2), and s(3,2{2}2) in his [[strong array notation]].<ref>[https://stepstowardinfinity.wordpress.com/2015/07/24/lan-numbers/ Numbers from linear array notation | Steps Toward Infinity!]</ref> |
Wiki user [[User:Hyp cos|Hyp cos]] calls this number a '''tribo''', and it's equal to s(3,3,2), s(3,2,3), s(3,2,1,2), and s(3,2{2}2) in his [[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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| + | It is also called '''Heads-Bi-3-primol''' by [[User:Licorneuhh|Licorneuhh]]. It is equal to R***(2) using [[Primarial Functions]].<ref>[https://sites.google.com/view/licorneuhhs-numbers-site/numbers Numbers | Licorneuhh's numbers site] (retrieved at UTC 09:53 13/02/2021) </ref> |
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== In other notations == |
== In other notations == |
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| − | There are many notations where 7,625,597,484,987 can be expressed: |
+ | There are many notations where 7,625,597,484,987 can be expressed : |
| − | {| border="0" cellpadding="1" cellspacing="1" class="article-table |
+ | {| border="0" cellpadding="1" cellspacing="1" class="article-table" |
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! scope="col"|Notation |
! scope="col"|Notation |
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|[[BEAF]] |
|[[BEAF]] |
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|colspan="2" align="center"|{3,3,2} |
|colspan="2" align="center"|{3,3,2} |
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| + | |- |
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| + | |[[Hyper-E notation]] |
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| + | |colspan="2" align="center"|E[3]1#3 |
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| + | |- |
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| + | |[[Bashicu matrix system]] |
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| + | |(0)(0)[1661] |
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| + | |(0)(0)[1662] |
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|[[Hyperfactorial array notation]] |
|[[Hyperfactorial array notation]] |
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|[[Slow-growing hierarchy]] |
|[[Slow-growing hierarchy]] |
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| − | |colspan="2" align="center"|\(g_{\ |
+ | | colspan="2" align="center" |\(g_{\varepsilon_0}(3)\) |
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[[Category:3 entry linear]] |
[[Category:3 entry linear]] |
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[[Category:Class 2]] |
[[Category:Class 2]] |
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[[Category:Non-pandigital numbers]] |
[[Category:Non-pandigital numbers]] |
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| − | [[Category:Numbers with |
+ | [[Category:Numbers with 7 to 29 digits]] |
[[Category:Powers of 3]] |
[[Category:Powers of 3]] |
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| + | [[Category:Tetration]] |
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| + | [[Category:Megafuga-]] |
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| + | [[Category:Toogol Regiment]] |
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| + | [[Category:Unnamed numbers with 7 to 29 digits]] |
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| + | [[Category:Unnamed numbers with googological uses]] |
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Revision as of 10:15, 13 February 2021
7,625,597,484,987 is a positive integer equal to \(3^{27} = 3^{3^3} = 3 \uparrow\uparrow 3 = 3 \uparrow\uparrow\uparrow 2\). It is the largest power tower of 3's expressible in compact digital form (\(^43 = 3^{3^{3^3}}\) has 3 trillion digits). It appears frequently when inputting threes into functions based on the hyper operators. Tritri, for example, is a 7,625,597,484,987-sized power tower of threes.
In the short scale number-naming system, it is seven trillion, six hundred twenty-five billion, five hundred ninety-seven million, four hundred eighty-four thousand, nine hundred eighty-seven.
In the long scale, it is seven billion, six hundred twenty-five milliard, five hundred ninety-seven million, four hundred eighty-four thousand, nine hundred eighty-seven.
Using Alistair Cockburn's megafuga- prefix, 7,625,597,484,987 can be named "megafugathree".[1]
Wiki user Hyp cos calls this number a tribo, and it's equal to s(3,3,2), s(3,2,3), s(3,2,1,2), and s(3,2{2}2) in his strong array notation.[2]
It is also called Heads-Bi-3-primol by Licorneuhh. It is equal to R***(2) using Primarial Functions.[3]
In other notations
There are many notations where 7,625,597,484,987 can be expressed :
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(7.625597484987\times10^{12}\) | |
| Arrow notation | \(3\uparrow\uparrow3\) | |
| Steinhaus-Moser Notation | 11[3] | 12[3] |
| Copy notation | 6[13] | 7[13] |
| Taro's multivariable Ackermann function | A(3,39) | A(3,40) |
| Pound-Star Notation | #*(4,4,4)*4 | #*(5,4,4)*4 |
| BEAF | {3,3,2} | |
| Hyper-E notation | E[3]1#3 | |
| Bashicu matrix system | (0)(0)[1661] | (0)(0)[1662] |
| Hyperfactorial array notation | 3![1] | |
| Fast-growing hierarchy | \(f_2(37)\) | \(f_2(38)\) |
| Hardy hierarchy | \(H_{\omega^2}(37)\) | \(H_{\omega^2}(38)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_0}(3)\) | |
Sources
- ↑ 3.2.2 - The Fz, The Fuga & The Megafuga
- ↑ Numbers from linear array notation | Steps Toward Infinity!
- ↑ Numbers | Licorneuhh's numbers site (retrieved at UTC 09:53 13/02/2021)
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