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7625597484987 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 7625597484987-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, 7625597484987 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 strong array notation.[2]

In other notations

There are many notations where 7625597484987 can be expressed:

Notation Expression
Scientific notation \(7.625597484987 \times 10^{12}\)
Up-arrow notation \(3 \uparrow\uparrow 3\), \(3 \uparrow^{2} 3\), \(3 \uparrow^{3} 2\)
BEAF \(\{3,3,2\}\), \(\{3,2,3\}\)
Chained arrow notation \(3 \rightarrow 3 \rightarrow 2\), \(3 \rightarrow 2 \rightarrow 3\)
Hyper-E notation \(E(3)1\#3\), \(E(3)3\#2\)
Down-arrow notation \(3 \downarrow\downarrow 4\)
Strong array notation \(s(3,3,2)\), \(s(3,2,3)\), \(s(3,2,1,2)\), \(s(3,2\{2\}2)\)
Fast-growing hierarchy \(f_{2} (37)\)
Slow-growing hierarchy \(g_{\omega^\omega^\omega} (3)\) or \(g_{\varepsilon_0} (3)\) (both are 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

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