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词条 Equidigital number
释义

  1. See also

  2. References

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 {{OEIS|id=A046758}}. 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

References

  • R.G.E. Pinch (1998), [https://arxiv.org/pdf/math/9802046 Economical Numbers].
{{Divisor classes}}{{Classes of natural numbers}}

2 : Integer sequences|Base-dependent integer sequences

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