Tuesday, July 7, 2015

Number 12



Importance of Twelve (12)
1.      Its etymology originates from the German compound twalf meaning two left over.

2.      It can be portioned in 77 ways.

3.      There are twelve months in a year. They are – January, February, March, April, May, June, July, August, September, October, November, and December.

4.      There are 12 zodiac signs. They are – Aries (March 21 – April 19) , Taurus ( April 20 – May 20) , Gemini (May 21 –June 20), Cancer (June 21- July 22) , Leo ( July 23 -  August 22 ), Virgo (August 23 – September 22) , Libra (September 23 – October 22) , Scirpio (October 23 - November 21), Sagittarius (November 22 - December 21), Capricorn (December 22 – January 19), Aquarius (January 23 - February 18), Pisces (February 19 – March 20)

5.      A 12 sided polygon is called a dodecagon and a 12 faced polyhedron is called a dodecahedron. A dodecahedron is a solid with regular pentagon on each of its 12 faces.
                                                                  
6.      Octahedron and Cube have 12 edges.

7.      The strength of wind is measured on the Beaufort scale which runs from 0 to 12.

8.      On one hand you can count off the numbers from 1 to 12 by touching the joints of your fingers with your thumb.                                                                        
                                         
9.      12 is the first abundant number. An abundant number is a number whose sum of factors excluding itself is more than the number. 12 has the factors as 1, 2, 3, 4, 6 and 12 and the sum of 1 + 2+ 3 + 4 + 6 =16 >12.

10.  It is a pentagonal number. Those numbers which represent the shape of pentagon are called pentagonal number. In the pentagonal numbers the lower base is a square with a triangle on the top. 1, 5,12,22,35...are its example. The nth pentagonal number Pn is given by the formula:-
a.       Pn = n ( 3n – 1 )
2
  
11.  It is the smallest number with exactly 6 divisors. Its divisors are 1, 2, 3, 4, 6 and 12.

12.  It is the largest known even number expressible as the sum of two primes in one way.                    12 = 5 + 7                               

13.  The square of 12 is palindromic to its reverse 21.                                                     
                    122 = 144                                                212 = 441

14.  It is the first composite number of the form p2q; a square prime combination.                            12 = 22 x 3

15.  It is a sublime number. A number that has a perfect number of divisors and the sum of its divisors is also a perfect number. 12 has 6 divisors (1, 2, 3, 4, 6 and 12) and 6 is a perfect number. Moreover the sum of its divisor is 28 which is also a perfect number.
16.  It is a super factorial number because it can be expressed as the product of first three factorials.                                                                                   
                                                  12 = 1! x 2! x 3!

17.  The atomic number of magnesium is 12. 

18.  The 12th moon of Jupiter is Lysithea.

19.  The famous kissing number problem in mathematics talks about impossibility of arranging more than 12 spheres of equal size so as to touch a central sphere.

20.  There are many mathematical terms associated with 12.                                                           
   1 feet = 12 inch                           1 dozen  =12 articles

21.  It has a very interesting property.                                                                               1122334455667789 x 122 = 16 16 16 16 16 16 16 16 16     


Read more on Numbers in my book
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Rajesh Kumar Thakur
rkthakur1974@gmail.com

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