Friday, August 31, 2018

Mathematically 244



1. 244 is an anti-perfect. 
  Its proper divisors are 1, 2, 4, 61, and 122, & adding their reversal is 244.
                           1 + 2 + 4 + 16 + 221 = 244.
2. It is a palindromic in bases 3 (1000013), 11 (20211), 60 (4460), 121 (22121), 243 (11243).

3. 244 is also the sum of three cubes,
                                   244=1^3+3^3+6^3 

4. It is the sum of two nonzero fifth powers
                                  244 = 1^5 + 3^5

5. It is a Harshad number on the base 3, 9, 11 ... . Harshad number was discovered by Indian mathematician Kaprekar.

Dr Rajesh Kumar Thakur

No comments:

Post a Comment

November 2, 2024