TITLE: Do most numbers have exactly $3$ prime factors?
QUESTION [90 upvotes]: In this question I plotted the number of numbers with $n$ prime factors. It appears that the further out on the number line you go, the number of numbers with $3$ prime factors get ahead more and more.
The charts show the number of numbers with exactly $n$ prime factors, counted with multiplicity:


(Please ignore the 'Divisors' in the chart legend, it should read 'Factors')
My question is: will the line for numbers with $3$ prime factors be overtaken by another line or do 'most numbers have $3$ prime factors'? It it is indeed that case that most numbers have $3$ prime factors, what is the explanation for this?

REPLY [20 votes]: Just another plot to about $250\times10^9$, showing the relative amount of numbers below with x factors (with multiplicity)

Somewhere between $151,100,000,000$ and $151,200,000,000$ 4 overtakes r3.