Blog Post 71: Number 343 in the spotlight!

343 is well known for its following characteristics as I had published in the earlier post

343 - 7 * 7 * 7
343 can be expressed as (3 + 4) ^ 3 by inserting few symbols between the digits
343 is one the few cubic or square palindrome

Taking this further let's look at the following series

Series 1: Insert 0 to 9 as the second digit (for eg. 3043, 3143, etc) and write down their factors

Series 2 : Prefix 0 to 9 before 343 and write down their factors

Are there any observations we could make or is it exhibited by most of the numbers?

Series 1                                                               Series 2

3043 – 17, 179                                                    0343 – 7,49

3143 – 7, 449                                                      1343 – 17, 79

               

3243 – 3, 23, 47                                                  2343 – 3, 11, 71

3343 – Prime                                                      3343 - Prime

3443 – 11, 313                                                    4343 – 43 and 101

3543 – 3, 1181                                                    5343 – 3, 13, 137

3643 – Prime                                                      6343 - Prime

3743 – 19, 197                                                    7343 – 7, 1049

3843 – 9, 61, 7                                                    8343 – 9, 9, 103

3943 – Prime number                                         9343 - Prime