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2020 CMIMC
2020 CMIMC Team
9
9
Part of
2020 CMIMC Team
Problems
(1)
2020 Team 9
Source:
2/2/2020
Over all natural numbers
n
n
n
with 16 (not necessarily distinct) prime divisors, one of them maximizes the value of
s
(
n
)
/
n
s(n)/n
s
(
n
)
/
n
, where
s
(
n
)
s(n)
s
(
n
)
denotes the sum of the divisors of
n
n
n
. What is the value of
d
(
d
(
n
)
)
d(d(n))
d
(
d
(
n
))
, where
d
(
n
)
d(n)
d
(
n
)
is the the number of divisors of
n
n
n
?
team
2020