Exercise 4.2.2 (Smallest integer $x$ for which $d(x) = 6$.)

Question

Find the smallest integer $x$ for which $d(x) = 6$.

Richard Ganaye · Accepted Answer

\begin{proof} 
We give some values of $\mathrm{d}$:

$$
\begin{array}{c|cccccccccccc}
	m		& 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12\
d(m)   		& 1 &  2& 2 & 3 & 2& 4  & 2 & 4 & 3 & 4& 2& 6
\end{array}
$$
The smallest integer $x$ for which $\mathrm{d}(x) = 6$ is 
$$x = 12.$$
\begin{verbatim}
sage: [sigma(m, 0) for m in range(1, 13)]
[1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6]
\end{verbatim}
\end{proof}

Exercise 4.2.2 (Smallest integer $x$ for which $d(x) = 6$.)

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Exercise 4.2.2 (Smallest integer $x$ for which $d(x) = 6$.)

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