MHB Can a Number Have Over 2017 Divisors Within a Specific Range?

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The discussion revolves around proving the existence of a natural number n that has more than 2017 divisors d, constrained by the condition that the square root of n is less than or equal to d, and d is less than 1.01 times the square root of n. Participants emphasize the importance of sharing progress or initial thoughts when asking for help to facilitate more effective assistance. The initial poster is encouraged to provide their work to avoid redundant suggestions. The conversation aims to explore the mathematical properties of divisors within the specified range.
anre
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Hello
could you help me to solve my task

$n \in \Bbb{N}$
Prove that there is n which has more than 2017 divisors d that:

$\sqrt{n} \le d < 1,01 * \sqrt{n}$

Thank you
 
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Hello anre and welcome to MHB! :D

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 

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