What are some interesting mathematical facts about the number 666?

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The discussion highlights the intriguing mathematical properties of the number 666, starting with the equation 2(012) + 20(12) + 201(2) = 666. It emphasizes several interesting facts about 666, including its representation as the sum of the first seven prime numbers and its connection to the Euler totient function, where φ(666) equals 6.6.6. Additionally, it notes that the sum of the first 6.6 integers equals 666 and presents a relationship involving the golden ratio. The conversation also touches on the historical context of the number of the beast, mentioning that the original number was reportedly 616. Overall, the thread showcases a variety of mathematical curiosities related to 666 without delving into religious interpretations.
kraphysics
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2(012) + 20(12) + 201(2)= 666!

I don't mean to start a discussion on 2012 or on religious topics, I just thought that was cool.
 
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Other cool thingies:

- 666 is the number of the first seven primes
- \phi(666)=6.6.6, where phi is the Euler totient function
- \sum_{i=1}^{6.6}{i}=666
- \phi=-2\sin(666^\circ)=-2\cos(6.6.6^\circ) where phi is the golden ratio
- The first 12^2 numbers of the fractional expansion of pi sum up to 666.

Also note that the original number of the beast was reportedly 616, and not 666...
 

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