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.
References
External links