Recent content by anre

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

    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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    MHB What rule is used to receive number 1

    On the board is written the number of positive integer "n". In next step we write a new number. If n is even, then we write the number n / 2. If n is odd, then select the 3n + 1 or 3n-1 and write on the blackboard. Can we get the number 1 (always) after many steps ? and why? What rule is used ...
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    MHB In the triangle ABC the point D lies on the side BC and point E on the side AB

    In the triangle ABC the point D lies on the side BC and point E on the side AB. BD = AC, AD = AE and AB ^ 2 = AC * BC. Show that \angle BAD = \angle CEA