666 (number)

From Wikipedia, the free encyclopedia

666
List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	Six hundred [and] sixty-six
Ordinal	666th
Factorization	$2 \cdot 3^2 \cdot 37$
Greek numeral	κξς'
Roman numeral	DCLXVI
Binary	1010011010
Octal	1232
Hexadecimal	29A
Base32	KQ
Base36	II

666 is the natural number following 665 and preceding 667.

[edit] In mathematics

666 is an abundant number. It is the sum of the first 36 natural numbers (i.e. $1 + 2 + 3... + 34 + 35 + 36 = 666$ ), and thus a triangular number. Since 36 is both square and triangular, 666 is the sixth number of the form $n 2 (n 2 + 1) / 2$ (triangular squares) and the eighth number of the form $n (n + 1)(n 2 + n + 2) / 8$ (doubly triangular numbers.)

666 is the sum of the squares of the first seven prime numbers (i.e. $22 + 3 2 + 5 2 + 7 2 + 11 2 + 13 2 + 17 2 = 666$ ).

The harmonic mean of the decimal digits of 666 is an integer: 3/(1/6 + 1/6 + 1/6) = 6, making 666 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, occurring in descending order of their respective values (D = 500, C = 100, L = 50, X = 10, V = 5, I = 1).

666 is a member of the Indices of prime Padovan sequence, 3, 4, 5, 7, 8, 14, 19, 30, 37, 84, 128, 469, 666, 1262, 1573, 2003, 2210, ....

Padovan sequence (sequence A112882) in OEIS

[edit] In other fields

666 is referred to as the Number of the Beast in the Book of the Revelation (see Revelation 13:17-18).

In the Eastern Orthodox Church, 666 is considered to be symbolic. Because 666 in Greek numerals is χξς and χ stands for the Christ(Χριστός in Greek), ς for the man because the man was created the sixth day of Genesis (ς' in Greek numerals is number six) and the serpent, represented by ξ, came between them.

In War and Peace by Leo Tolstoy, the main hero (Pierre Bezukhov) uses numerology to show that Napoleon Bonaparte is the Antichrist. Bezukhov then finds the same to be true for his own name when the French version of his nationality is added. [1] Mistakes in both calculations are often noted in the reviews. [2]

Since the "sine of the Devil" sin (666°) = -1/2 times the golden ratio, this expression has been paraphrased by the humorous quip "The sign of the devil is the opposite of good, but only half as strong." Note that (sin 306°) and (sin -54°) are mathematically synonymous with (sin 666°).

Vicarius Filii Dei, an epithet for the Pope which means literally "vicar of the son of God", adds up to 666 if only the letters with Roman numeral values are included (VICarIVs fILII DeI would give VICIVILIIDI = 5+1+100+1+5+1+50+1+1+500+1). This epithet was never used by the Catholic church itself and was likely invented by a person who believed that the Antichrist would be a Pope.

666 was used as a nickname by Aleister Crowley, an occultist who styled himself as the Beast referred to in the Book of the Revelation.

The UPC barcodes found on most commercial products are characterized by guard bars at the beginning, middle and end made up of two thin lines. Two thin lines also appear in the UPC encoding for the digit 6 (and no other digit), and so to human eyes (but not to an electronic barcode reader) the guard bars appear to read 666. Some people interpret this as a fulfillment of the prophecy "Without this number an individual will not be able to buy or sell" (cited from the Book of the Revelation 13:17).[3]

The 2006 remake of the horror film The Omen was released on June 6, 2006 (06/06/06) at 06:06:06 in the morning.

The full name of former U.S. President Ronald Wilson Reagan contains six letters in each of his three names. This caused a few numerologists to believe that Reagan was in fact the antichrist, such as Gary D. Blevins. Additionally, when Reagan moved to California following the end of his presidency, he asked that his house number be changed from 666 to 668. [4]

666 is the port number used by the game Doom when playing against another player via TCP.

Most versions of the computer game Lemmings feature a level called "All the 6's ...". The level layout features three 6's built upon the "hellish" lava terrain set, 66 Lemmings and 66 of every skill, a time limit of 6 minutes, a release rate of 66, and the player must rescue 66% of the Lemmings.

In Chinese culture, 666 sounds a lot like the words 'Things going smoothly'. It is considered one of the luckiest numbers in Chinese culture. It can be seen prominently in many shop windows across the country, and people there often pay extra to get a mobile phone number including this string of digits.

The numeric sequence 6-6-6 is Waw-Waw-Waw ("WWW") in Hebrew, since in Hebrew, letters have numerical values. The decimal number 666, however, is Taw-Resch-Samech-Waw (400-200-60-6), since in Hebrew, hundreds, tens and ones have different characters.

666 is the amount of gold talents that King Solomon collected in a single year (see 1 Kings 10:14 and 2 Chronicles 9:13).

666 is the number of Adonikam's descendants who return to Jerusalem and Judah from the Babylonian exile (see Ezra 2:13).

666 was the original name of the Macintosh SevenDust computer virus that was discovered in 1998.

Six-Sixty-Six is the title of a song by Christian rock pioneer Larry Norman. A cover version was recorded by Frank Black and the Catholics.

666 is the title of a song by thrash metal band Gore Abortion

666 is the nickname of Canadian punk rock n' roll band Kill Cheerleader.

DCLXVI is the name of a Blackened Death Metal band from Kent, England.

DCLXVI is the title of a song by Hardcore Metal band Catherine from Sacramento, CA.

Bodenseesender transmits on 666 kHz, resulting in the nickname "Teufelsturm" (Devil's Tower) for its 240 metre tall main antenna mast.

Apple's first release, the Apple I, was priced at $666.66^[1]

The fear of the number 666 is called hexakosioihexekontahexaphobia.

Greatest Love Songs Vol. 666 is the debut album by Finnish band HIM, which features the track "Your Sweet Six Six Six" and the special edition's length includes 66 tracks and is 66 minutes long with 6 seconds so that it reads 66:06