An equidigital number is a natural number that has the same number of digits as the number of digits in its prime factorization, including exponents but excluding exponents equal to 1. For example, in base-10 arithmetic 1, 2, 3, 5, 7, and 10 (2×5) are equidigital numbers (sequence A046758 in the OEIS). All prime numbers are equidigital numbers in any base.
A number that is either equidigital or frugal is said to be economical.
- R.G.E. Pinch (1998), Economical Numbers.