MathDB
TOT 056 1984 Spring J-O4 P(P(N))+P(S(N))+S(P(N))+S(S(N))=1984

Source:

August 19, 2019
number theorysum of digitsproduct of digitsDigits

Problem Statement

The product of the digits of the natural number NN is denoted by P(N)P(N) whereas the sum of these digits is denoted by S(N)S(N). How many solutions does the equation P(P(N))+P(S(N))+S(P(N))+S(S(N))=1984P(P(N)) + P(S(N)) + S(P(N)) + S(S(N)) = 1984 have?
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