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    OlympiadMediumNumber Theory10–12

    What is the sum of all positive divisors of 600600?

    Qual é a soma de todos os divisores positivos de 600600?

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    Solution

    Step 1 of 3

    1. 1.600=23×3×52600 = 2^{3} \times 3 \times 5^{2}, and σ\sigma is multiplicative over prime powers.