From the Super Mario Wiki, the Mario encyclopedia
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Hogarithms are stronger versions of a Pigarithm in Super Paper Mario. Their name is derived from "hog" and "logarithm." Apart from being white and slightly stronger, they are the same as Pigarithms. Three stomps are required to defeat them. Hogarithms get smaller and faster when attacked, which makes them harder to defeat. They drop a large amount of coins, a Long-Last Shake, or more rarely, a Shooting Star when defeated.
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