Equidigital number

An equidigital number is a number that has the same number of digits as the number of digits in its prime factorization (including exponents). For example, in base-10 arithmetic 1, 2, 3, 5, 7, and 10 (2×5) are equidigital numbers. All prime numbers are equidigital numbers in any base.

A number that is either equidigital or frugal is said to be economical.

See also

* Extravagant number

* Frugal number


* R.G.E. Pinch (1998), Economical Numbers

Number Theory

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