One could define Even numbers as numbers that include a 2 in their factors. Is there an equivalent term for numbers that have a 3 in their factors?
Presumably there would be three terms involved. A number would be "3ven" if it was divisible by 3, "odd1" if it was one above a 3ven number, and odd2 if it was two above a 3ven number.
What words am I looking for here? Or did I just make them up?
Modulus.
x % 3 (read as "x mod three") is the remainder after dividing by 3. So:
if x % 3 = 1, it's what you call odd1.
if x % 3 = 2, it's what you call odd2.
if x % 3 = 0, it's what you call 3ven.
>>8612834
Okay :)
But those aren't "words" really. "Percentthreeequalszero" doesn't really roll off the tongue the way Even and 3ven do.
>>8612818
By any chance are you a CS major?
>>8612842
kill yourself
>>8612845
Almost was, but didn't.
>>8612848
Is it okay if I just kill you instead?
>>8612818
In your base three system, are the first three numbers 1, 2, 3 or 0, 1, 2?
>>8612842
> percent
it's called mod, he literally says it in the second line.
>>8612856
0,1,2
>>8612818
holy crap I was just thinking about this two days ago. I like your names.
odd = 1 mod 3
nod = -1 mod 3
even = 0 mod 3
>>8612818
Even is short for "divisible by two"
Odd is short for "not divisible by two"
There is nothing stopping you from coming up with similar words for three, except that it wouldn't be as useful unless as you said you're in base 3 or doing something weird. Really, the correct way to deal with it is to just use the long form and throw out terms like Even and Odd.
>>8612818
The general term is "n-smooth" numbers, so any number divisible by 3 would be 3-smooth.
>tfw you realize we should have used base 12, because it's 2,3,4,6-smooth, but it's too late to every change :(
>>8612973
Aha! Okay. 3-smooth.
I think base 10 is better because division by 3 or 4 isn't so difficult in base 10, whereas division by 5 would be a total pain in base 12.
1/3 = .333... in decimal.
1/4 = .25 in decimal.
1/5 = 0.249724972497... in base 12.
Apperently Roman numerals used base 12 for fractions. They chose to drop base 12 when decimal came in.
>>8612963
I wasn't really thinking about being IN base 3. But there are lots of real life situations where people say "even" and "odd", and I thought that if there was an analogous word for multiples of 3, it might be useful.
>>8612963
There is a word called throdd.
https://betterexplained.com/articles/fun-with-modular-arithmetic/
>>8612856
In your base ten system, are the first ten numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 or 0, 1, 2, 3, 4, 5, 6, 7, 8, 9?
>>8612905
That's actually not bad tbqh