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Omni-MATH / Alison is eating 2401 grains of rice for lunch. She eats the rice in a very…

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problem

Alison is eating 2401 grains of rice for lunch. She eats the rice in a very peculiar manner: every step, if she has only one grain of rice remaining, she eats it. Otherwise, she finds the smallest positive integer d>1d>1 for which she can group the rice into equal groups of size dd with none left over. She then groups the rice into groups of size dd, eats one grain from each group, and puts the rice back into a single pile. How many steps does it take her to finish all her rice?
Plain-text mathematical notation (without MathML)
Alison is eating 2401 grains of rice for lunch. She eats the rice in a very peculiar manner: every step, if she has only one grain of rice remaining, she eats it. Otherwise, she finds the smallest positive integer d>1 for which she can group the rice into equal groups of size d with none left over. She then groups the rice into groups of size d, eats one grain from each group, and puts the rice back into a single pile. How many steps does it take her to finish all her rice?
Original LaTeX notation
Alison is eating 2401 grains of rice for lunch. She eats the rice in a very peculiar manner: every step, if she has only one grain of rice remaining, she eats it. Otherwise, she finds the smallest positive integer $d>1$ for which she can group the rice into equal groups of size $d$ with none left over. She then groups the rice into groups of size $d$, eats one grain from each group, and puts the rice back into a single pile. How many steps does it take her to finish all her rice?

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Source and history

task_id
ce8e6b21-e9fc-5039-b6e2-a9210b75ee06
task_key
test--ce8e6b21-e9fc-5039-b6e2-a9210b75ee06
task_revision_id
1
config / split
/ test

Official source

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