  The $\alpha$-decay chain of $^{293}$118, first proposed in the Berkeley cold
fusion experiment $^{208}$Pb($^{86}$Kr,1n) and now retracted, is calculated by
using the preformed cluster model (PCM) of one of us (RKG). Also, the possible
branchings of $\alpha$-particles to heavier cluster decays of all the parents
in this chain are calculated for the first time. The calculated Q-values,
penetrabilities and preformation factors for $\alpha$-decays suggest that the
$^{285}$114 nucleus with Z=114, N=171 is a magic nucleus, either due to the
magicity of Z=114, or of N=172 or of both. The N=172 is proposed to be a magic
number in certain relativistic mean-field calculations, but with Z=120. The
calculated cluster decays point to new interesting possibilities of $^{14}$C
decay of the $^{281}$112 parent, giving rise to a (reasonably) deformed Z=106,
N=161, $^{267}$106 daughter (N=162 being now established as the deformed magic
shell) or to a doubly magic $^{48}$Ca cluster emitted from any of the parent
nucleus in the $\alpha$-decay chain. Apparently, these are exciting new
directions for future experiments.
