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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 = 72 754 Cain 06-Jun-13 16:16
666 can be related to the Zodiac 660 Milo 06-Jun-13 18:34
Collectively, 666 represents the will to power and global domination 435 Milo 06-Jun-13 18:37
Re: 666 can be related to the Zodiac 436 MJT 06-Jun-13 20:02
Re: 666 can be related to the Zodiac 509 Milo 06-Jun-13 21:42
Re: 666 can be related to the Zodiac 471 WINDINWATERS 12-Jun-13 16:38
616 is an error 413 Milo 12-Jun-13 17:24
Re: 666 = 72 455 D-Archer 06-Jun-13 18:41
Re: 666 = 72 427 Poster Boy 06-Jun-13 23:51
Re: 666 = 72 352 Poster Boy 07-Jun-13 01:50
Re: 666 = 72 626 Michael MacRae 07-Jun-13 11:06
Re: 666 = 72 372 D-Archer 07-Jun-13 12:38
Re: 666 = 72 393 jamesglory 08-Jun-13 07:20
Re: 666 = 72 418 Cain 08-Jun-13 14:12
In mathematics, 666 is a 'triangular number' 7049 Milo 08-Jun-13 10:37
Re: In mathematics, 666 is a 'triangular number' 494 greengirl5 12-Jun-13 05:20
ADOBE 451 Milo 12-Jun-13 13:22
Re: 666 = 72 385 WINDINWATERS 12-Jun-13 10:42
Re: 666 = 72 367 Cain 14-Jun-13 07:14
Re: 666 = 72 430 geoffss 14-Jun-13 11:49
Re: 666 = 72 427 Broker 18-Jun-13 03:36
Re: 666 = 72 462 D-Archer 18-Jun-13 09:41
Re: 666 = 72 393 magisterchessmutt 18-Jun-13 11:49
Re: 666 = 72 504 Broker 18-Jun-13 18:40
Re: 666 = 72 372 magisterchessmutt 18-Jun-13 23:04
Re: 666 = 72 460 Broker 20-Jun-13 03:55
Re: 666 = 72 377 DUNE 20-Jun-13 08:41
Hexakosioihexekontahexa 1118 mmstud 10-Jul-13 14:17
Re: Hexakosioihexekontahexa 410 Sirfiroth 10-Jul-13 15:38
Re: Hexakosioihexekontahexa 465 mmstud 11-Jul-13 11:21
Re: Hexakosioihexekontahexa 508 Sirfiroth 11-Jul-13 20:42
Re: Hexakosioihexekontahexa 400 mmstud 12-Jul-13 09:01
Re: 666 = 72 472 mmstud 17-Jul-13 09:27
Re: 666 = 72 420 carolb 19-Jul-13 15:41
666 is not evil - it's just a symbolic number 615 Milo 19-Jul-13 15:58
Re: 666 is not evil - it's just a symbolic number 393 Michael MacRae 19-Jul-13 21:04
Re: 666 is not evil - it's just a symbolic number 454 Milo 20-Jul-13 18:39
flower power 419 Michael MacRae 21-Jul-13 22:57
Re: 666 = 72 426 mmstud 20-Jul-13 09:04
Re: 666 = 72 400 molder 20-Jul-13 09:35


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