A birthday puzzle

Today is my birthday.

Being a mathematician,  I pulled out as many pennies as my age.   I noted that if I arranged the pennies in a rectangular array, they formed a perfect square.

I then noted that I could also rearrange the same pennies in a hexagonal array to form an equilateral triangle.

I don’t think I’ve ever been able to do that before.

How old am I?

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seven × = twenty one