Advent calendar 2018

22 December

In base 2, 1/24 is 0.0000101010101010101010101010...
In base 3, 1/24 is 0.0010101010101010101010101010...
In base 4, 1/24 is 0.0022222222222222222222222222...
In base 5, 1/24 is 0.0101010101010101010101010101...
In base 6, 1/24 is 0.013.
Therefore base 6 is the lowest base in which 1/24 has a finite number of digits.
Today's number is the smallest base in which 1/10890 has a finite number of digits.
Note: 1/24 always represents 1 divided by twenty-four (ie the 24 is written in decimal).

Show answer


Show me a random puzzle
 Most recent collections 

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

Sunday Afternoon Maths LXV

Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings

List of all puzzles


chocolate fractions graphs numbers arrows logic doubling dates multiplication circles complex numbers star numbers clocks grids integration regular shapes functions games remainders probability lines indices sum to infinity scales 3d shapes algebra perfect numbers proportion money rectangles odd numbers unit fractions percentages triangle numbers means surds planes mean 2d shapes partitions quadratics palindromes geometry averages coordinates differentiation multiples menace rugby cube numbers advent christmas spheres square numbers coins pascal's triangle cards shape cryptic crossnumbers sums division shapes books floors colouring ave chess calculus irreducible numbers people maths speed chalkdust crossnumber folding tube maps sequences addition integers dodecagons routes taxicab geometry perimeter number ellipses factorials prime numbers square roots squares probabilty digits cryptic clues triangles bases volume time area hexagons crosswords balancing crossnumbers wordplay sport parabolas symmetry factors dice trigonometry angles polygons


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2019