What is the つく used at the end of this sentence


What is the つく used at the end of this sentence?

> 友人の仕事は危険で、汚くて、おまけに
> きついらしい。ちなみにそういう仕事は俗に「３K」と呼ばれている。要するに「き」、すなわち「K」が３つつくというわけだ
>
> My friend's work is dangerous, dirty and tough. It is incidentally the kind
> of work referred to as 3K because, without going into detail it has the
> characteristics of the three きs or Ks.

(The content of this sentence provide provide challenges for translation but I
want to focus on the つく, which could be a big subject in itself but to make
this question striaght forward, I wondered, is it 付く as in the following
example?:

> この書棚には二つ引き出しが付いている｜This bookcase has two drawers.




The rough meaning of つく in the two sentences is the same, but they're used in
slightly different ways.

In この書棚には二つ引き出しが付いている the perfective aspect is used. The ている form of つく, a
change-of-state verb, expresses the "state of having attached", i.e. "has".
Note that この書棚には二つ引き出しが付く would change the meaning.

In 「K」が３つつく, the simple form is used, i.e. the general/habitual aspect. This
aspect is often used when つく is used to mean "The word has the letter X", e.g.
"knife には k がつきます".




The rough meaning of つく in the two sentences is the same, but they're used in
slightly different ways.

In この書棚には二つ引き出しが付いている the perfective aspect is used. The ている form of つく, a
change-of-state verb, expresses the "state of having attached", i.e. "has".
Note that この書棚には二つ引き出しが付く would change the meaning.

In 「K」が３つつく, the simple form is used, i.e. the general/habitual aspect. This
aspect is often used when つく is used to mean "The word has the letter X", e.g.
"knife には k がつきます".

