Base 7

Number Theory Level 4

\[ 160001001200030002150101 _7 \]

The number above is written in base 7. What integer number, \(0 \leq n \leq 5\), would need to be subtracted from it in order for it to be divisible by 6?

Hint: There is no need to convert the above number to decimal... Good luck!

Try more questions on Bases

Image credit: http://www.zazzle.com/

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.