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666 (number)

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666
Cardinal Six hundred [and] sixty-six
Ordinal 666th
Factorization <math>2 \cdot 3^2 \cdot 37</math>
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. <math> 1 + 2 + 3 ... + 34 + 35 + 36 = 666</math>), and thus a triangular number. Since 36 is both square and triangular, 666 is the sixth number of the form <math>n^2(n^2+1)/2</math> (triangular squares) and the eighth number of the form <math>n(n+1)(n^2+n+2)/8</math> (doubly triangular numbers.)

666 is the sum of the squares of the first seven prime numbers (i.e. <math> 2^2 + 3^2 + 5^2 + 7^2 + 11^2 + 13^2 + 17^2 = 666</math>).


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, (is the first few of these).

[edit] In other fields

  • Since the "sine of the Devil" <math>\sin (666^\circ) = - \frac{1}{2} \varphi </math>, where φ is 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 (which would give VICIVILIIDI). 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.
  • 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).[1]
  • 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. [2]
  • 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.
  • 6-6-6 is Waw-Waw-Waw ("WWW") in Hebrew, since in Hebrew, letters have numerical values. The 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.

es:Seiscientos sesenta y seis fr:666 (nombre) ko:666 it:Seicentosessantasei he:666 (מספר) hu:666 (szám) nl:666 (getal) ja:666 pl:666 (liczba) ru:666 (число) sv:666 (tal) zh:666

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