happy 666 everyone

666 is commonly known as the Number of The Beast in Book of Revelation chapter 13, verses 17-18.

Rev 13:16 And he causeth all, both small and great, rich and poor, free and bond, to receive a mark in their right hand, or in their foreheads:
Rev 13:17 And that no man might buy or sell, save he that had the mark, or the name of the beast, or the number of his name.
Rev 13:18 Here is wisdom. Let him that hath understanding count the number of the beast: for it is the number of a man; and his number is Six hundred threescore and six.

Personally, i don't want to involve with religion things above, cause it's well beyond my know-how, but this 666 is very appealing and has been studied extensively by mathematicians because of its many interesting properties.

Here's for example:

The number 666 is a simple sum and difference of the first three 6th powers:
666 = 16 - 26 + 36.

The sum of the squares of the first 7 primes is 666:
666 = 2² + 3² + 5² + 7² + 11² + 13² + 17²

The number 666 is related to the golden ratio! (If a rectangle has the property that cutting off a square from it leaves a rectangle whose proportions are the same as the original, then that rectangle's proportions are in the golden ratio.
Also, the golden ratio is the limit, as n becomes large, of the ratio between adjacent numbers in the Fibonacci sequence.)
Denoting the Golden Ratio by t, we have the following identity, where the angles are in degrees:

sin(666) = cos(6·6·6) = -t/2

which can be combined into the lovely expression:

t = - (sin(666) + cos(6·6·6) ) [Wang, J. Rec. Math, 26(3)]

666 is a divisor of 123456789 + 987654321. [from Patrick Capelle]

666 is an abundant number. It is the sum of the squares of the first seven prime numbers.
Since 36 is both square and triangular, 666 is the sixth number of the form n2(n2 + 1) / 2 (triangular squares) and the eighth number of the form n(n + 1)(n2 + n + 2) / 8 (doubly triangular numbers.)

There is no number whose value of Euler's totient function φ is 666, making it a nontotient.

The harmonic mean of the digits of 666 is an integer: 3/(1/6 + 1/6 + 1/6) = 6. 666 is the 54th number with this property.

In base 10, 666 is a palindromic number, a repdigit and a Smith number. A prime reciprocal magic square based on 1/149 in base 10 has a magic total of 666.

The Roman numeral representation of the number 666 (DCLXVI) uses once each the Roman numeral symbols with values under 1,000, and they occur in exact reverse order of their respective values (D = 500, C = 100, L = 50, X = 10, V = 5, I = 1).

Well, I thought it’s already too much, isn’t it?

Btw, there is another interesting from conspiracy field, if you take a look closer to a UPC Barcode on the left, you will fin d out that number 666 will appear from the ‘guard bar’ at the beginning, middle and the end.

And the guard bar is a code for number ‘6’. Hmmm quite interesting for a person who like a conspiracy :)


Well then, Happy 666 day everyone …

djakarta
6-6-6
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