:
.. ::\forall n \in \mathbb{N} : \sigma^3(n) \neq 3n
..:\sigma^i(n) = \sigma(\sigma^{i-1}(n)) \, \, \mbox{where} \, \, \, i , n \in \mathbb{N}
:
.. ::\forall n \in \mathbb{N} : \sigma^3(n) \neq 3n
..:\sigma^i(n) = \sigma(\sigma^{i-1}(n)) \, \, \mbox{where} \, \, \, i , n \in \mathbb{N}
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