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Enigma Number 1587

By Susan Denham

17 March 2010

Déjà vu

I have in mind a number N. I’ll tell you some things about it:

It is more than 2. If you draw a figure with that number of straight sides, with all its angles the same and with all the vertices lying on a circle, then all the sides will be equal in length. And the angles will be whole numbers of degrees.

And how many of the numbers 1, 2, 3,… , N divide exactly into N? I’ve worked out that number and I’ll tell you something about it:

It is more than 2. If you…

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