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The number you cite is called the Unit Identification Code (UIC). It is a key data field in U.S. Navy and U.S. Marine Corps administration, finance, and logistics documents and systems. Unfortunately there is no comprehensive listing of all UICs ever issued by the Navy and Marine Corps—the codes can be reused. Currently assigned UICs were once available in the Navy Comptroller (NAVCOMPT) Manual Volume 2 Chapter 5; however, This publication is regularly updated, and the superseded publication is discarded.
In order to find the information you are looking for, you will need to find the NAVCOMPT Manual Volume 2 Chapter 5 in effect for the date of the document you found on Ancestry. Because of the constant changes, there is a question whether any of the NAVCOMPT Manual volumes are considered permanent records—my former NARA colleagues would have to answer that question for you.
I wish there was an easier path to follow.
Good luck in your research!
Dear Mr. Boyer,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located Records Relating to the Navy Comptroller Manual, 1950 - 1970 in the General Records of the Department of the Navy (Record Group 428) and Government Publications, 1861 - 1992 in the Publications of the U.S. Government (Record Group 287) that may include copies of the Navy Comptroller (NAVCOMPT) Manual. For more information about these records, please contact the National Archives at College Park - Textual Reference (RDT2) via email at Archives2reference@nara.gov.
Due to the COVID-19 pandemic and pursuant to guidance received from the Office of Management and Budget (OMB), NARA has adjusted its normal operations to balance the need of completing its mission-critical work while also adhering to the recommended social distancing for the safety of NARA staff. As a result of this re-prioritization of activities, you may experience a delay in receiving an initial acknowledgement as well as a substantive response to your reference request from RDT2. We apologize for this inconvenience and appreciate your understanding and patience.
We hope this is helpful. Best of luck with your research!