Solution of the Week #332 - Even Binary Puzzle

The highest number that will terminate at 25 is 123:

123  1111011    111 x 1011 7 x 11

77   1001101    1001 x 101 9 x 5

45   101101     101 x 101  5 x 5

25   11001      stop

 

The highest number that will stop at 32 is 965:

965  1111000101      111 x 1000101   7 x 69

483  111100011       111 x 100011    7 x 35

245  11110101        111 x 10101     7 x 21

147  10010011        100100 x 11     36 x 3

108  1101100         110 x 1100      6 x 12

72   1001000         100 x 1000      4 x 8

32   100000          stop