# 666 (number): Map

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 666 Cardinal Six hundred and sixty-six Ordinal 666th Factorization 2 \cdot 3^2 \cdot 37 Greek numeral χξ Roman numeral DCLXVI Chinese numeral 六百六十六 Binary 1010011010 Octal 1232 Hexadecimal 29A Base12 476, i.e. 04 07 06 Base32 KQ Base36 II Base60 11 06

666 is the natural number following 665 and preceding 667. It is also 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 and the eighth number of the form n(n+1)(n^2+n+2)/8 (doubly triangular numbers, ).

The number of prime numbers up to 666 is 121, the square of the number of prime numbers up to 36.

666 is the 60th 12-factored number; 60 is the first 12-factored number.

666=(3^6)-(2^6)+1; 6=(3^2)-(2^2)+1; 66=(3^4)-(2^4)+1.

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

The harmonic mean of the decimal digit of 666 is (trivially -- all repdigit natural numbers have this property) 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, ... .

## The Number of the Beast

In the Bible, the Book of Revelation ( ) cryptically asserts 666 to be "the number of a man," associated with the beast, an antagonistic creature that appears briefly about two-thirds into the apocalyptic vision. The calculation of the number was a challenge that has inspired many would-be mystics and prophets ever since.

In modern popular culture, 666 has become one of the most widely recognized symbols for the Antichrist or, alternately, the Devil. Earnest references to 666 occur both among apocalypticist Christian groups and in explicitly anti-Christian subcultures, such as that surrounding some heavy metal bands.An appearance of the number 666 in contemporary Western art or literature is, more likely than not, an intentional reference to this number of the Beast symbolism. Such popular references to 666 are too numerous to list.

It is not uncommon to see the symbolic role of the integer 666 transferred to the digit sequence 6-6-6. Some people take the satanic associations of 666 so seriously that they actively avoid things related to 666 or the digits 6-6-6. This is known as hexakosioihexekontahexaphobia.

## In other fields

• 666 is the magic sum, or sum of the magic constants of a six by six magic square, any row or column of which adds up to 111.
• The sum of all the numbers on a roulette wheel is 666.
• 666 was a winning lottery number in the 1980 Pennsylvania Lottery scandal, in which equipment was tampered to favor a 4 or 6 as each of the three individual random digits.
• 666 was the original name of the Macintosh SevenDust computer virus that was discovered in 1998.
• In the Bible, 666 is the number of Adonikam's descendants who return to Jerusalem and Judah from the Babylonian exile (see ).
• In the Bible, 666 is the number of gold talents that King Solomon collected in a single year (see and ).
• The number 666 is a frequent visual element of Aryan Brotherhood tattoos.