Just checking that FIC might be used in the accession catalogue as a reference to provenance, but would not be written on the object?
The Accession number is the object’s unique identifier and might include the year e.g. 2014.1 or 2014.65 but would not include other references about donor, origin or material type.
If an object is going on loan to another museum, it is good practice to include the museum’s code. In the UK the Museum Documentation Association assigns a 5 letter code to each museum to avoid duplication e.g. BRPMG Bridport Museum (and Gallery). Nationals may have a shorter code (BM British Museum).
You want as small and simple a number as possible to write on the object, so I wouldn’t recommend writing anything other than the accession number itself as a normal practice.