Moderators: They make you lose count(Longest thread still alive!)

[ljfa]

Hehe ^^
81

 

[GamerwithnoGame]

82

 

[Lawbroken]

1.

 

[ljfa]

our buddy Law is back
2

 

[Someone Else 37]

Yay!
4-(4/4)

 

[ljfa]

How about a factorial-based number system? The digits are weighted 1, 2, 6, 24, ...
So 20(!)

 

[GamerwithnoGame]

How about a factorial-based number system? The digits are weighted 1, 2, 6, 24, ...
So 20(!)

Wait, I'm confused.

I understand the progression in the weighting you mentioned (the number to be multiplied by the previous number), but where did 20 come from?

 

[ljfa]

I understand the progression in the weighting you mentioned (the number to be multiplied by the previous number), but where did 20 come from?

It's 0*1 + 2*2, so four.
Five would be 21(!).

 

[GamerwithnoGame]

*is ashamed*

Honestly, I still don't get it :/ I've never come across that method of factorials before. Only the progression you mentioned; so 1!=1, 2!=(1x2)=2, 3!=(1x2x3)=6, 4!=(1x2x3x4)=24.

Sorry @ljfa

 

[ljfa]

It's simple really.
Next number is six, that is 100(!). One times six + zero times two + zero times one. You just weight the digits from right to left with the factorials.

 

[GamerwithnoGame]

Spoiler: Excuse me while I kick my brain into gear...

...OH!

So the factorials are the numeric bases! So instead of for, for example, binary where the digits are 8|4|2|1, so decimal 10 is 1010, in this case the digits are the factorials - 24|6|2|1, right?

So in that case, the maximum value in each digit is the n!, so for the 3rd digit (sixes), the highest that can be is 3, and for the 4th digit (twenty-fours) the highest that can be is 4? And the 5th digit is 120s... let me just... hang on.

4x24 + 3x6 + 2x2 + 1x1 = 119...

Son of a gun it works!!!

In that case...

101(!)

 

[ljfa]

Haha you figured it out
110(!)

 

[GamerwithnoGame]

Eventually! took me long enough!

111(!)

 

[ljfa]

120(!) (ten)

 

[GamerwithnoGame]

121(!)

(eleven)

 

[sgbros1]

12 I guess

 

[GamerwithnoGame]

A baker's dozen.

Or, if you prefer: 201(!)

Or, 1101(2)

Or just good ol' 13

 

[playerismc]

14

 

[GamerwithnoGame]

 

[sgbros1]

16