--- Null and odd exceptions with modulo = 2^8 for T function ---
0 -> 0
85 -> 0
227 -> 85

--- Null and odd exceptions with modulo = 2^16 for T function ---
0 -> 0
14563 -> 21845 -> 0
19417 -> 29126 -> 14563
21845 -> 0
53399 -> 14563
56635 -> 19417

--- Null and odd exceptions with modulo = 2^24 for T function ---
0 -> 0
5592405 -> 0
9320675 -> 5592405

--- Null and odd exceptions with modulo = 2^32 for T function ---
0 -> 0
1431655765 -> 0
3817748707 -> 1431655765