table of integer factorizations for

In addition to the factorizations of the first thousand positive integers, the following table also gives the values of the following functions: $\mathrm{\Omega }(n)$, the number of (nondistinct) prime factors function; $\omega (n)$, the number of distinct prime factors function; the difference between the two $\mathrm{\Omega }(n)-\omega (n)$ (with the heading ${\mathrm{\Sigma }}^a$ for the sake of not making the table wider than necessary); $\lambda (n)$, the Liouville function; and $\mu (n)$, the Möbius function.