# I am working on project euler 52 to practice my Python but I think I have misunderstood what the problem is

Given a positive integer $$x$$ let $$n_x = lfloor log_{10} x rfloor$$ and let $$x_0, x_1, dots, x_{n_x} in {0, 1, 2, 3, 4, 5, 6, 7 ,8 ,9}$$ such that $$x = sum_{i=0}^{n_x} 10^i x_i$$.
Define the multiset $$S(x) = {x_0, x_1, dots, x_{n_x} }$$.

The problem is asking for:
$$min x quadmbox{ s.t.}\ S(x)=S(ix) quad forall i in {2,3,4,5,6}; \ x in mathbb{Z}; \ x > 0.$$