Magical Numbers: 666

Also known as "The Number of the Beast".

The last book of the Bible, Revelation, brings up the number 666 as being the number of the beast connected with the end of this age and the coming of the Messiah. You will find the direct reference in Chapter 13, verse 18 of Revelation. Besides that cataclysmic reference, the number 666 has quite a few very interesting properties.

666 = 3^6 - 2^6 + 1^6

666 = 6^3 + 6^3 + 6^3 + 6 + 6 + 6

There are only five such numbers!!

666 = 2^2 + 3^2 + 5^2 + 7^2 + 11^2 + 13^2 + 17^2

666 = 1 + 2 + 3 + 4 + 567 + 89 = 123 + 456 + 78 + 9 = 9 + 87 + 6 + 543 + 21

Moreover, 666 is equal to the sum of the cubes of the digits in its square (666^2 = 443556, and the sum of the cubes of these digits is 4^3 + 4^3 + 3^3 + 5^3 + 5^3 + 6^3 = 621) plus the sum of the digits in its cube (666^3 = 295408296, and

2+9+5+4+0+8+2+9+6 = 45, and 621+45 = 666).

Incredibly, the number 666 is equal to the sum of the digits of its 47th power, and is also equal to the sum of the digits of its 51st power. That is,

666^47 = 504996968442079675317314879840556477294151629526540818811763266893654044661603306865302888989271885967029756328621959466
5904733945856

666^51 = 99354075759138594033426351134129598072385863746943100899712069131346071328296758253023455821491848
0960748972838900637634215694097683599029436416

And the sum of the digits on the right hand side is, in both cases, 666. In fact, 666 is the only integer greater than one with this property. (Also, note that from the two powers, 47 and 51, we get (4+7)(5+1) = 66.)

Mike Keith points out that if we assign numerical values for the letters of the alphabet starting with A = 36, B = 37,.. and so on, we find that the letters in the word

SUPERSTITIOUS = 666 !!!

We'll be back shortly with more interesting posts!!

Comments

Post a Comment

Popular posts from this blog

Magical Places: Dragon's Triangle

Image
Hey, guys its been quite a long time since we have posted so here is a post of one of the most mysterious places on earth "THE DRAGON'S TRIANGLE". Much similar to the infamous Bermuda's triangle, dragon's triangle has seen many disappearings. The Dragon’s Triangle follows a line from Western Japan, north of Tokyo, to a point in the Pacific at approximate latitude of 145 degrees east. It turns west south west, past the Bonin Islands, then down to Guam and Yap, west towards Taiwan, before heading back to Japan in a north north easterly direction. The existence of agonic lines - lines of no magnetic variation, along which the magnetic needle points directly north and south. The principle agonic line in the Western Hemisphere runs directly through the Bermuda triangle, whilst the principle agonic line in the Eastern Hemisphere runs through the Dragon’s triangle. Which in both cases often leads to extreme compass deviation in the surrounding area. For over
Read more

Cruel History

This post like most with similar topics, would seem like ranting about things in the past. I've been doing some research into world history and various major events that shaped the world we live in today. The past is filled with atrocities, which makes us humans seem like the lowest form of animal species to ever walk on this beautiful earth. So, let's start with dictatorship. I never realized this, but when it comes to the most cruel dictators of all time, Hitler isn't really on the top spot. The man who even dwarfs Hitler's crime against humanity is Joseph Stalin. The man was a nightmare to deal with, responsible for over about 49 million deaths. Then, there is Mao Zedong perhaps the most cruel dictator of all time, responsible for 45 million deaths in just 4 years. With respect to all of this, the Indian independence struggle and the great war of 1857 seem like just a bad day (perhaps an over exaggeration on my part). As, I was exploring this I came across Nanki
Read more

Magical number :73

Image
Seventy three is a magical number and has so many strange properties that are rare to be found in many of the other numbers. The digits of 73, '7' and '3' when multiplied yield 21, and 73 is the 21st prime number!!! Also the reverse of 73 yields 37 which is the 12th prime number which is also a reverse of 21!!! Finding out the binary form of 73 yields 1001001 which is a palindrome!!! And that's not all 37 + 12 = 49 (seven squared) and 73 + 21 = 94 = 47*2, 47+2 also being equal to 49. This similar phenomenon or the magical property of 73 was also mentioned in "The Big Bang Theory". That's all for this edition of magical numbers, stay posted for more such numbers.
Read more