Answer:
If it doubles every 8 hours then
population = initial population * 2 ^ (hours / 8)
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after 26 hours
population increases by a factor of
2 ^ (26 / 8) = 9.51365692
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after 1 week, or 168 hours
population increases by a factor of
2 ^ (168 / 8) = 2 ^ 21 = 2,097,152