[Python] Python While loop with Organization growth not giving proper output

I'm trying to write a program that calculates the population of growing organisms over a certain period of time:

A local biologist needs a program to predict population growth. The inputs would be:

• The initial number of organisms
• The rate of growth (a real number greater than 1)
• The number of hours it takes to achieve this rate
• A number of hours during which the population grows

For example, one might start with a population of 500 organisms, a growth rate of 2, and a growth period to achieve this rate of 6 hours. Assuming that none of the organisms die, this would imply that this population would double in size every 6 hours. Thus, after allowing 6 hours for growth, we would have 1000 organisms, and after 12 hours, we would have 2000 organisms.

Write a program that takes these inputs and displays a prediction of the total population.
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Here is the code I have so far:

#Currently trying with 10, 2, 2, 6, giving a total pop of 10

organisms = int(input("Enter the initial number of organisms:"))
rateOfGrowth = int(input("Enter the rate of growth [a real number > 0]: "))
numOfHours = int(input("Enter the number of hours to achieve the rate of growth: "))
totalHours = int(input("Enter the total hours of growth: "))

totalOrganisms = organisms
while numOfHours >= totalHours:
organisms *= rateOfGrowth
totalOrganisms += organisms
numOfHours += numOfHours
print("The total population is ",totalOrganisms)


I've run through the logic a few times and can't figure out why I can't get the desired answer of 80

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