Why can't I know all the numbers?

Number Theory Level 3

( X m o d 32 ) , ( X m o d 16 ) , ( X m o d 8 ) , ( X m o d 4 ) (X \bmod{32}), \; (X \bmod{16}), \; (X \bmod{8}), \; (X \bmod{4})

Let X X be a positive integer. If I'm told exactly the value of one of the numbers above, then I'm only able to figure out the value of precisely 2 other numbers, leaving one remaining number to be undetermined.

What is the remaining number that I'm referring to?

( X m o d 16 ) (X \bmod{16}) ( X m o d 8 ) (X \bmod{8}) ( X m o d 32 ) (X \bmod{32}) ( X m o d 4 ) (X \bmod{4})

Pi Han Goh by Pi Han Goh , 30, Malaysia

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