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In mathematics, 666 is a 'triangular number'...

A triangular number counts the objects that can form an equilateral triangle.

Quote

666 is the sum of the first 36 natural numbers (i.e. 1 + 2 + 3+ ... + 34 + 35 + 36 = 666), and thus it is a triangular number.

Since 36 is both square and triangular, 666 is the sixth number of the form n^2(n^2+1)/2 (sequence A037270 in OEIS) and the eighth number of the form n(n+1)(n^2+n+2)/8 (doubly triangular numbers) (sequence A002817 in OEIS).

The number of prime numbers up to 666 is 121, which is the square of 11, which is the number of prime numbers up to 36.

666 is an abundant number.

The harmonic mean of the decimal digits 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 repdigit (and therefore a palindromic number) 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 for 666, DCLXVI, has exactly one occurrence of all symbols whose value is less than 1000 (D=500, C=100, L=50, X=10, V=5, I=1).

(60 and 360 were used as bases in Babylonian mathematics, as in the degrees of a circle; 360=10x36 and 666 is the sum of the numbers from 1 to 36.)

666 is 1010011010 in the binary numeral system which is the same as its one's complement in reverse digit order.

666 is a member of the indices of prime Padovan numbers: 3, 4, 5, 7, 8, 14, 19, 30, 37, 84, 128, 469, 666, 1262, 1573, 2003, 2210, ... (sequence A112882 in OEIS).

[en.wikipedia.org]

Incidentally...

If add all 36 numbers up on a roulette wheel, you get 666...

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Post Edited (08-Jun-13 10:45)

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Subject Views Written By Posted
666 = 72 896 Cain 06-Jun-13 16:16
666 can be related to the Zodiac 753 Milo 06-Jun-13 18:34
Collectively, 666 represents the will to power and global domination 509 Milo 06-Jun-13 18:37
Re: 666 can be related to the Zodiac 534 MJT 06-Jun-13 20:02
Re: 666 can be related to the Zodiac 581 Milo 06-Jun-13 21:42
Re: 666 can be related to the Zodiac 545 WINDINWATERS 12-Jun-13 16:38
616 is an error 490 Milo 12-Jun-13 17:24
Re: 666 = 72 537 D-Archer 06-Jun-13 18:41
Re: 666 = 72 504 PB Bytes 06-Jun-13 23:51
Re: 666 = 72 433 PB Bytes 07-Jun-13 01:50
Re: 666 = 72 755 Michael MacRae 07-Jun-13 11:06
Re: 666 = 72 447 D-Archer 07-Jun-13 12:38
Re: 666 = 72 475 jamesglory 08-Jun-13 07:20
Re: 666 = 72 497 Cain 08-Jun-13 14:12
In mathematics, 666 is a 'triangular number' 7766 Milo 08-Jun-13 10:37
Re: In mathematics, 666 is a 'triangular number' 596 greengirl5 12-Jun-13 05:20
Re: 666 = 72 466 WINDINWATERS 12-Jun-13 10:42
Re: 666 = 72 438 Cain 14-Jun-13 07:14
Re: 666 = 72 511 geoffss 14-Jun-13 11:49
Re: 666 = 72 496 Broker 18-Jun-13 03:36
Re: 666 = 72 535 D-Archer 18-Jun-13 09:41
Re: 666 = 72 468 magisterchessmutt 18-Jun-13 11:49
Re: 666 = 72 593 Broker 18-Jun-13 18:40
Re: 666 = 72 445 magisterchessmutt 18-Jun-13 23:04
Re: 666 = 72 533 Broker 20-Jun-13 03:55
Re: 666 = 72 457 DUNE 20-Jun-13 08:41
Hexakosioihexekontahexa 1217 mmstud 10-Jul-13 14:17
Re: Hexakosioihexekontahexa 483 Sirfiroth 10-Jul-13 15:38
Re: Hexakosioihexekontahexa 543 mmstud 11-Jul-13 11:21
Re: Hexakosioihexekontahexa 605 Sirfiroth 11-Jul-13 20:42
Re: Hexakosioihexekontahexa 474 mmstud 12-Jul-13 09:01
Re: 666 = 72 588 mmstud 17-Jul-13 09:27
Re: 666 = 72 501 carolb 19-Jul-13 15:41
666 is not evil - it's just a symbolic number 753 Milo 19-Jul-13 15:58
Re: 666 is not evil - it's just a symbolic number 465 Michael MacRae 19-Jul-13 21:04
Re: 666 is not evil - it's just a symbolic number 531 Milo 20-Jul-13 18:39
flower power 481 Michael MacRae 21-Jul-13 22:57
Re: 666 = 72 508 mmstud 20-Jul-13 09:04
Re: 666 = 72 480 molder 20-Jul-13 09:35

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