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Not to be confused with troogol.

Throogol (short for 'third googol', also called throogord and gugolhecta, formerly goohoolgol) is equal to E100###100 = E100##100##...##100##100 (100 100's), using Extended Hyper-E Notation.[1][2] The term was coined by Sbiis Saibian. Throogol is comparable to and not to be confused with Bowers' troogol.

## Etymology

The name "throogol" is based on Greek prefix "tri-" and the number "googol".

The name "throogord" is a corruption of googol+third.

## Approximations in other notations

Notation Approximation
Chained arrow notation $$100 \rightarrow_2 100$$
BEAF $$\{100,101,99,99\}$$
Hyperfactorial array notation $$100![1,1,2]$$
Taro's multivariable Ackermann function A(1,0,0,99)
X-Sequence Hyper-Exponential Notation $$100\{X^2\}100$$
Fast-growing hierarchy $$f_{\omega^2}(100)$$
Hardy hierarchy $$H_{\omega^{\omega^2}}(100)$$
Slow-growing hierarchy $$g_{\varphi(\omega,0,0)}(100)$$

## Sources

1. Saibian, Sbiis. Extended Hyper-E NumbersOne to Infinity. Retrieved 2015-06-29.
2. Sbiis Saibian's Ultimate Finite Numbers List Part II

Googol — Greagol
Greagol — Gugold
Throogol — Godgahlah-ex-grand godgahlah