Useless Numerology for 2016: Part 1

The following entertaining (but useless) facts about the number 2,016 appeared in a recent Facebook post (and subsequent comments) by the American Mathematical Monthly.

2016 = 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3

2016 = 2^{10} + 2^9 + 2^8 + 2^7 + 2^6 + 2^5

2016 = 1+2+3 + \dots + 62 + 63

2016 = \displaystyle \sum_{n=0}^{63} (-1)^{n+1} n^2

2016 = (1+2+...+8+9)^2 - (1+2)^2

(2 + 0 + 1)! = 6

2016 = 2^{11} - 2^5

2016 = 2016 \times 1

The last tongue-in-check equation is my favorite.

In this series, I’ll explain why these different expressions for 2016 have to be equal to each other. I’ll begin with tomorrow’s post.

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