# Analysis page (Most common Number of prime factors)

All the analysis made from the outputs of participants will be shown here.

• Graph of Prime factor distribution from $0$ to $10^6$:

• Graph of Number of prime factors occurrence percentage (till $10^6$):

• Graph of Prime factor distribution from $0$ to $10^8$:

Note :

• If you have another idea (rather than line graph) of representing the data then please share!

• Thanks to Páll Márton to submit answer till $10^8$.

• A new line graph which will be focusing on percentage of prime factor distribution is coming soon!

• Analysis of each week will be represented here after the end of each week.

Note by Zakir Husain
7 months ago

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@Zakir Husain I think Pie chart will be better as it will help visualise more clearly.

- 7 months ago

Sure!

- 7 months ago

It seems that till $10^6$ numbers with number of prime factors - $2,3,4$ are most common. Also highly composite number are more rare than primes

- 7 months ago

Reminds me of $\dfrac{1}{(x-k)^n}$...

- 7 months ago

What? I didn't understood, what you meant?

- 7 months ago

x=number of prime factors, k & n are unknown constants, the output of the function is the number of number that have x prime factors.

- 7 months ago

Matches the graph

- 7 months ago

- 7 months ago

Except for $x < 2$ I guess?

- 7 months ago

Looking great @Zakir Husain ! Could you share the actual numbers as well?

- 7 months ago