How large was William's invasion fleet?

The chroniclers' figure of 3,000 ships sits uneasily beside an army usually estimated near 7,000 men. A typical longship needed roughly 25 or more people to operate it, although some soldiers could propel their own transports while specialist crews handled cargo vessels. About 700 to 800 ships is therefore a more plausible first-wave fleet, with larger totals perhaps counting later supply crossings or repeated voyages. The sixteen days between the successful landing on 28 September and the Battle of Hastings on 14 October also leave room for reinforcements and local supporters, so the army at Hastings need not match the first embarked force. The surviving evidence is far thinner than the paperwork from the interwar period and the late eighteenth and early nineteenth centuries, and closer to the fragments left from Roman history. Army size, crew requirements, operational tempo, and uneven archival survival all provide ways to test a dramatic medieval number.