  Open quantum dynamics can be categorized in several ways, including according
to their divisibility. For any quantum channel acting for any finite time
period, we propose measures of P-indivisibility and CP-indivisibility, where P
and CP stand for positivity and complete positivity respectively. Subsequently,
we also propose two quantities to measure the resourcefulness - with respect to
an arbitrary quantum resource - of any quantum channel within any finite time
interval. Moreover, we find a bridge between these two classes of metrics, viz.
those quantifying divisibilities of quantum channels and those gauging their
resourcefulness, by identifying two separate relations between elements of one
class with those of the other. Lastly, we verify the two relations using
quantum non-Markovianity as a channel resource.
