Beast number

The beast number or sign of the devil is equal to 666. It is associated with Satan, evil, and bad luck in Western numerology.
The number's origin is in Revelation 13:18 from the Christian Bible: "This calls for wisdom. Let the person who has insight calculate the number of the beast, for it is the number of a man. That number is 666."Revelation 13:18, NIV Some translations give 616.
A number with 666 digits is called an apocalypse number, and a number of the form containing 666 in its decimal expansion is called an apocalyptic number.
== Properties ==
Its prime factorization is 2 × 32 × 37.
A popular phenomenon in recreational mathematics is discovering "unusual" properties of 666 (purely coincidental). Here are some of them:
*666 is the sum of the squares of the first seven primes: + + + + + + = 666
*666 = DCLXVI, using all of the Roman numerals except for M in descending order. For the same reason, the six Japanese yen coins sum to ¥666.
*φ(666) = 6 6 6, where φ represents .
*666 is the alternating sum of the first three sixth powers: - + .
*666 is the 36th (6 6th) .
** Thus, it is the sum of the numbers on the American roulette wheel. 00, 0, 1, 2, 3, ... 35, 36.
** Related to this, 666 is the increasing and decreasing sum of the first six perfect cubes: + + + + + + + + + + = 666
** It is the largest triangular number.
*222,111 is the 666th triangular number, and the 222,111th triangular number is 24,666,759,216.
*There are exactly six digit 6's in the decimal expansion of : 87,266,061,345,623,616.
**Similarly, there are 2 6 (12) digit 6's in the decimal expansion of : 2,235,111,150,895,389,301,249,381,342,232,951,352,130,031,828,640,647,616,754,238,557,881,163,071,896,851,147,531,724,784,530,814,582,097,445,922,881,737,078,370,567,562,092,223,091,453,615,905,548,102,178,073,175,097,305,670,733,077,683,179,094,016.
*There are three ordered pandigital sums that produce 666, two increasing and one decreasing: 1 + 2 + 3 + 4 + 567 + 89 = 123 + 456 + 78 + 9 = 9 + 87 + 6 + 543 + 21 = 666
*The first 144 (122) digits of pi add up to 666.
*The sine of the angle 666° multiplied by -2 is equal to the .
*The sum of the first nine digits of pi in groups of three is: 314 + 159 + 265 = 666 + 66 + 6
**Similarly, if you reverse the digits, you get: 562 + 951 + 413 = 666 + 666 + 666 - 66 - 6
*Interestingly, by turning 666 upside down, you get 999, the UK official emergency number.
*The s are at a of around 66.6 .
*It is also the prize for 4 correct final digits in the German lottery in euros.
== Sources ==
== See also ==
*777
*Legion's number of the first and second kind
*Leviathan number
*Super-leviathan
Category:Numbers
Category:Class 1
Category:Even numbers
Category:Numbers in science
Category:Numbers in religion
Category:Numbers with 3 digits
Category:Repdigit numbers