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Turkey Junior National Olympiad
1999 Turkey Junior National Olympiad
3
Turkey Junior Olympiad 1999, Part II - P3
Turkey Junior Olympiad 1999, Part II - P3
Source:
January 18, 2013
Problem Statement
Let
d
(
n
)
d(n)
d
(
n
)
denote the largest odd integer divides
n
n
n
. Calculate the sum
d
(
1
)
+
d
(
2
)
+
d
(
3
)
+
⋯
+
d
(
2
99
)
d(1)+d(2)+d(3)+\dots+d(2^{99})
d
(
1
)
+
d
(
2
)
+
d
(
3
)
+
⋯
+
d
(
2
99
)
.
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