How to convert an integer to fixed length hex string in C#?

I have an integer variable with max value of 9999.

I can convert to fixed length string (4-characters):

value.ToString("0000");

and I can convert it to hex:

value.ToString("X");

I want to convert it to a hex string of four characters (padded with 0 at the left if the value is converted to less than four digits hex value). I tried the following which didn't work.

value.ToString("0000:X");

OK, I can check the length of hex string and pad left with zeros.

But is there any straightforward way?