## Self-Descriptive Number Fixed-Point Function

A self-descriptive number in base 10 is a 10-digit number *x*, the digits of

*x* being numbered from most to least significant as *d0,…,d9*, such that *di*

represents the quantity of the digit *i* in the decimal representation of *x*. See Weisstein, Eric W. “Self-Descriptive Number.” From MathWorld, a Wolfram Web Resource. http://mathworld.wolfram.com/Self-DescriptiveNumber.html

A number-theoretic function which is the base-10 fixed point of the self-describing number is presented in this paper.

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