mscroggs.co.uk
mscroggs.co.uk

subscribe

Advent calendar 2025

23 December

153 is equal to the sum of the cubes of its digits: 13 + 53 + 33.
There are three other three-digit numbers that are equal to the sum of the cubes of their digits. What is the largest of these numbers?

Show answer

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026