Perfect Number : Number Theory #Perfect #Number #: #Number #Theory

Perfect Number :

    A number n is called a perfect number if the sum of all divisors of n > 1 , is equal to 2n.

     For example : 

           Let n = 28. 

                The divisors of 28 are 1,2,4,7,14,28.

                Also the sum of these divisors = 1+2+4+7+14+28 

                                                                 = 56

                                                                 = 2 x 28

                                                                 = 2n

                         ∴  28 is a perfect number.

        Similarly , 6, 496, 8128 etc are also perfect numbers.

 * Bracket Function 

 * Historical background of Number Theory

 *  Dirichlet Multiplication

 * Euclidean Algorithm

 * Fundamental Theorem of Arithmetic

 *  Properties of Numbers

 * Historical Introduction to Number Theory 

 * GCD of morethan 2 numbers

 *   The Mobius Function 𝝻 ( n ) .

 *  The Euler Totient Function 

 * Formal Power Series 

 * Liouville’s function λ(n) 

  * Congruences

 * Fermat's Theorem

 * Wilson's Theorem 

#Perfect #Number  #: #Number #Theory