mscroggs.co.uk
mscroggs.co.uk

subscribe

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

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2020

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2021