# 306

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## Number

$306$ (three hundred and six) is:

$2 \times 3^2 \times 17$

The $24$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $\ldots$, $262$, $268$, $276$, $290$, $292$, $304$

## Historical Note

$306$ was the number selected more or less at random by R. William Gosper when he wished to test a new technique for calculating roots using continued fractions.

He calculated its $7$th root to $2800$ digits.

It starts:

$2 \cdotp 26518 \ldots$