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Problem #167

The Perfectionist Yagami

L gives Light the following challenge and claims that if he is unable to solve it, he is Kira. Help Light deceive L by solving the challenge. A 3-perfect number is defined as a number whose sum of divisors equals thrice that number.you have to fiind the sum of all 3-perfect numbers of the form n = 2^{k}3p that are less than 10^9, where p is an odd prime number and k is positive Integer. Give the answer modulo 10^9+7.

Contributed by Anshumaan

Solved by 221 users

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