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factorials
A number of the form 1 ⋅ 2 ⋅ 3 ⋅⋅⋅ n. more

The factorials up to 1015 :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 6000 values, from 1 to 6000!).

n\r 0  1 
259991 2 
3599811 3 
45997120 4 
559962101 5 
6599811000 6 
75994211002 7 
859971100010 8 
9599511100200 9 
105996110101000 10 
1159902300210002

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.