Arithmetic dynamics | Base-dependent integer sequences

Dudeney number

In number theory, a Dudeney number in a given number base is a natural number equal to the perfect cube of another natural number such that the digit sum of the first natural number is equal to the second. The name derives from Henry Dudeney, who noted the existence of these numbers in one of his puzzles, Root Extraction, where a professor in retirement at Colney Hatch postulates this as a general method for root extraction. (Wikipedia).

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Related pages

Exponentiation | Kaprekar's routine | Periodic point | Fixed point (mathematics) | Factorion | Periodic sequence | Sum-product number | Signed-digit representation | Digit sum | Arithmetic dynamics | Happy number | Meertens number | Natural number | Perfect digital invariant | Number theory | Cycle detection | Perfect digit-to-digit invariant | Persistence of a number | Kaprekar number | Henry Dudeney | Narcissistic number