What's special about the number?

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The number 232,792,560 is notable for being the smallest positive integer that is evenly divisible by all integers from 1 to 20. This property makes it a significant solution in mathematical problems, particularly in Project Euler, where it is referenced in one of the challenges. The discussion also touches on various thought processes related to arriving at this conclusion, with participants exploring different numerical relationships and calculations. Some engage in playful banter about their methods, while others emphasize the importance of accepting diverse approaches to problem-solving. Ultimately, the focus remains on the unique divisibility characteristic of 232,792,560, highlighting its mathematical significance.
Char. Limit
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Without looking it up, tell me what is so special about the number 232,792,560.

Also, explain your process, I want to know how you people think.
 
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232+560=792
 
That's not quite what I was looking for. I'm looking for a property that is unique to this number, or that this number is the first to accomplish.
 
Its the lowest number divisible by 1-20
 
Yep, that's correct. How did you get to that answer?
 
Its the answer to question number 5 on Project Euler. so i had solved for it before.
 
Char. Limit said:
I want to know how you people think.
Char. Limit said:
That's not quite what I was looking for.

Odd. You ask for the thinking process that goes into an answer, but then reject processes that don't lead to the answer you like.

How much can one learn if one only accepts answers one expects? :smile:
 
Jarle said:
232+560=792

Maybe I am a glass half empty person. I saw it as 792-232=560. :redface:
 
DaveC426913 said:
Odd. You ask for the thinking process that goes into an answer, but then reject processes that don't lead to the answer you like.

How much can one learn if one only accepts answers one expects? :smile:

I stand chastised. Sorry, Jarle.
 
  • #10
rtd1996 said:
Its the lowest number divisible by 1-20
It's the lowest number divisible by 1-21 and by 1-22 as well.
 
  • #11
This might be quirky but it is how I first thought about it

232,792,560

2+3+2 =7
7+9+2=18 --> 1+8=9
5+6+0=11 --> 1+1=2

which when assembled is 792
I like to add.
 
  • #12
It's also the first number to be divisible by 116,396,280
 
  • #13
It's a really big number. That seems pretty special to me.
 
  • #14
dav2008 said:
It's also the first number to be divisible by 116,396,280

Wrong its the second number. a number first divides itself ;)
 
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