Black-Hole Numbers of Iteration of Digital Quintic Power Sum
Yao Zhang, Xiaopan Li, Wenliang Wu · 2016
For iteration of quintic power sum of digits there are seven fixed points, two 2-circles, one 4-circle, one 6-circle, two 10-circles, one 12-circle, one 22-circle and one 28-circle.The probabilities for natural numbers falling into each fixed point or circle by several times iterating of quintic power sum are unbalanced.In it about 1/3 fall into 22-circle, about 1/4 into 28-circle, the probability of falling into 12-circle is slightly less than 1/4, that of falling into seven fixed points is less than 1%.