Modified Collatz conjecture or I conjecture for neutrosophic numbers Z [union] I

In this paper, a modified form of Collatz conjecture for neutrosophic numbers is defined. We see for any n [member of] the related sequence using the formula (3 a + 1) + (3b + 1)I converges to any one of the 55 elements mentioned in this paper. Using the akin formula of Collatz conjecture viz. (3a - 1) + (3b -1)I the neutrosophic numbers converges to any one of the 55 elements mentioned with appropriate modifications. Thus, it is conjectured that every n [member of] has a finite sequence which converges to any one of the 55 elements. Keywords: Collatz Conjecture, Modified Collatz Conjecture, Neutrosophic Numbers.