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Sum of greatest odd divisors - 2015 PAMO Problem 4

Source: 2015 Pan-African Mathematics Olympiad Problem 4

August 26, 2015
number theory

Problem Statement

For a positive integer nn denote d(n)d(n) its greatest odd divisor. Find the value of the sum d(1008)+d(1009)+...+d(2015)d(1008)+d(1009)+...+d(2015)
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