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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 = 72 685 Cain 06-Jun-13 16:16
666 can be related to the Zodiac 630 Milo 06-Jun-13 18:34
Collectively, 666 represents the will to power and global domination 405 Milo 06-Jun-13 18:37
Re: 666 can be related to the Zodiac 409 MJT 06-Jun-13 20:02
Re: 666 can be related to the Zodiac 482 Milo 06-Jun-13 21:42
Re: 666 can be related to the Zodiac 447 WINDINWATERS 12-Jun-13 16:38
616 is an error 389 Milo 12-Jun-13 17:24
Re: 666 = 72 424 D-Archer 06-Jun-13 18:41
Re: 666 = 72 402 Poster Boy 06-Jun-13 23:51
Re: 666 = 72 327 Poster Boy 07-Jun-13 01:50
Re: 666 = 72 578 Michael MacRae 07-Jun-13 11:06
Re: 666 = 72 348 D-Archer 07-Jun-13 12:38
Re: 666 = 72 365 jamesglory 08-Jun-13 07:20
Re: 666 = 72 394 Cain 08-Jun-13 14:12
In mathematics, 666 is a 'triangular number' 6700 Milo 08-Jun-13 10:37
Re: In mathematics, 666 is a 'triangular number' 453 greengirl5 12-Jun-13 05:20
ADOBE 428 Milo 12-Jun-13 13:22
Re: 666 = 72 358 WINDINWATERS 12-Jun-13 10:42
Re: 666 = 72 342 Cain 14-Jun-13 07:14
Re: 666 = 72 406 geoffss 14-Jun-13 11:49
Re: 666 = 72 402 Broker 18-Jun-13 03:36
Re: 666 = 72 434 D-Archer 18-Jun-13 09:41
Re: 666 = 72 362 magisterchessmutt 18-Jun-13 11:49
Re: 666 = 72 470 Broker 18-Jun-13 18:40
Re: 666 = 72 351 magisterchessmutt 18-Jun-13 23:04
Re: 666 = 72 435 Broker 20-Jun-13 03:55
Re: 666 = 72 353 DUNE 20-Jun-13 08:41
Hexakosioihexekontahexa 1084 mmstud 10-Jul-13 14:17
Re: Hexakosioihexekontahexa 391 Sirfiroth 10-Jul-13 15:38
Re: Hexakosioihexekontahexa 431 mmstud 11-Jul-13 11:21
Re: Hexakosioihexekontahexa 476 Sirfiroth 11-Jul-13 20:42
Re: Hexakosioihexekontahexa 371 mmstud 12-Jul-13 09:01
Re: 666 = 72 438 mmstud 17-Jul-13 09:27
Re: 666 = 72 384 carolb 19-Jul-13 15:41
666 is not evil - it's just a symbolic number 570 Milo 19-Jul-13 15:58
Re: 666 is not evil - it's just a symbolic number 372 Michael MacRae 19-Jul-13 21:04
Re: 666 is not evil - it's just a symbolic number 433 Milo 20-Jul-13 18:39
flower power 396 Michael MacRae 21-Jul-13 22:57
Re: 666 = 72 398 mmstud 20-Jul-13 09:04
Re: 666 = 72 377 molder 20-Jul-13 09:35


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