Collectible coins are typically categorized based on factors such as historical significance, rarity, condition, and demand among collectors. The 1824 Coronet Head cent, minted in Philadelphia, is a notable example from the early United States coinage, featuring a design that displays the portrait of Liberty with a coronet. Additionally, the five-dollar coins, such as those issued by the United States, often feature prominent historical figures or events and are highly sought after by numismatists for their artistic value and investment potential. Collectors focus on these elements to gauge the worth and significance of each coin in their collections.