666 (number)

For other uses, see 666 (disambiguation).

666

Cardinal	Six hundred ^* sixty-six
Ordinal	666th
Factorization	$2 \cdot 3^2 \cdot 37$
Roman numeral	DCLXVI
Binary	1010011010
Hexadecimal	29A
Base32	KQ
Base36	II

In mathematics

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 $n^2(n^2+1)/2$ (triangular squares) and the eighth number of the form $n(n+1)(n^2+n+2)/8$ (doubly triangular numbers.)

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, 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, and they occur in exact reverse order of their respective values (D = 500, C = 100, L = 50, X = 10, V = 5, I = 1).

In other fields

666 (or 616) is commonly known as the Number of the Beast in Book of Revelation chapter 13, verses 17-18.

According to translator's comments in the New English Translation (NET) Bible^*, some maintain that recent discoveries show that 616 could possibly be the correct number of the beast, and not the commonly known 666. A few manuscripts of the Book of Revelation read 616 at chapter 13:17-18, and there are several other numerical variations. Irenaeus' mention of manuscripts having 616 is balanced by his rejection of their accuracy. The reading 616 is intriguing since the conversion of Nero Caesar's name in Latin by way of gematria, Hebrew numerology, comes out to 616. But for this very reason it is suspect because such a reading seems motivated by that very fact and somewhat contrived. Nero is recorded in the Talmud as having converted to Judaism before his death, and was not a major figure in the history of both the Pharisees or the Saducees.

End of the world Biblical interpreters had conjectured that June 6, 2006 and June 6, 1906 ^* (06/06/06) would be "days of the Beast" and had prophesied that the Antichrist would reveal himself on the latter date. This was not considered a mainstream Christian view. Both dates were uneventful.

The remake of the film The Omen, which contains references to 666 being "The Number of the Beast," was released on June 6, 2006 (06/06/06). Promotional materials for the film made reference to this fact.

666 is also the value of the kilohertz frequency of the Bodenseesender, a big AM radio station in South Germany, which is receivable at night in all of Europe. It is also the frequency of the Australian Broadcasting Corporation's Canberra station.

In the United States, 666 is a brand name of cough syrup.

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

666 is a Lemmings level found in most ports of the game. Although it's full title is "All the 6's", the level itself features three 6's built upon the lava terrain set.

In Unix and similar operating systems, a file permission of 666 octal (which is not uncommon) grants all users read and write permissions on the file.

666 is the sum of all the numbers on a typical roulette wheel. (A typical roulette wheel is numbered from 1 to 36, with one (in Europe) or two (in North America) zeroes. See the point on triangular numbers, above.)

666 is the numerical value of: "ועתה יגדל-נא כח אדני" ("Ata yigdal na koach Ado-nai"; Now, let the power of my Lord grow) (Numbers 14:17). This was Moshe's (Moses) prayer invoking Divine Mercy on behalf of the Jewish People. ^*

CSX Transportation currently has a GE AC6000CW locomotive with the number 666.

666 is a nickname for Benzene Hexachloride, a powerful insecticide and pediculicide. Its chemical formula is C₆H₆Cl₆.

Similar to the Roman numeral occurrence, combining one of each of Japan's coin currency yields 666 (500, 100, 50, 10, 5, 1)

Apple's first computer, the Apple I, was priced at $666.66.

Organic molecules are based on carbon-12, with 6 Protons, 6 Neutrons and surrounded by 6 Electrons.

The full name of former U.S. President Ronald Reagan contains six letters each in his first (RONALD), middle (WILSON) and last (REAGAN) names, thus earning him the nickname "666". Additionally, when Reagan moved to California following the end of his presidency, he asked that his house number be changed from 666 to 668.

In Chinese, 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.

666 is the AM frequency of Lithuanian radio station LR ("Lietuvos radijas", literally Radio of Lithuania), the last Lithuanian radio station that broadcasts in AM (other stations are FM-only)

666 is the postal code of the Swedish village of Bengtsfors, famously causing the joke that fans of heavy metal would move there.

Integers | Famous numbers

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In mathematics

In other fields