3. On the planet Sharp Teeth, animals reproduce in a special way, specifically: every hamster gives birth to four hamsters every 4 months; every groundhog gives birth to one small groundhog every 4 months; and rabbits, mysterious creatures, reproduce faster the more time passes, specifically, if a person does not give away or buy new rabbits, then after $2k$ months, the number of their rabbits increases by a factor of $k!$ (where $k!$ is the product of numbers from 1 to $k$).

Boy Ilya bought rodents from a pet store. It is known that after a year, Ilya had 1040 domestic animals. How many rodents did Ilya buy from the pet store?

If there are several possible answers, list them in ascending order separated by a semicolon.
Answer: $13,41,130 \mid 13 ; 41 ; 130$

## Examples of answer notation:

## 9

$9 ; 23$

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