Importance of 19

Nineteen (19)

1.      It is a Prime number.

2.      It is a maximum number of 4^th powers needed to sum to any numbers.

3.      It is the smallest prime that can grow 8 times by the right.   

                                                                     

4.      It can be portioned in 490 ways.

5.      It is a hex number. It can be arranged into pattern of nested hexagon. 

  7, 13, 19… are the example of hex number.                                                                                                     

                                Hex number = 6 x Triangular Number + 1     

6.      It is the first number with more than one digit that can be written from base 2 to base 19 using only the digits from 0 to 9.      

7.      19 can be written as the sum of two consecutive numbers. Moreover, it is the difference of square of these consecutive numbers.                                                                                                        

                               19 =  9  +  10                                                                                                               
                              19 = 10² – 9²

8.      The atomic number of Potassium is 19.   

9.      It is the third number whose decimal reciprocal is of maximum length. The period of its repeated decimal is 18.                                                                                                           

                           
                           1/19 = 0.05263 15789 47368 421
10.  It is the only Palindrome number in Roman Numeral
                                   

11. It is the smallest centered triangular number.

12. 19 is also the smallest base ten number that is NOT a palindrome in any base 

                                           2≤b≤10  

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Rajesh Kumar Thakur

rkthakur1974@gmail.com