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This number is a composite.
414 x 3414 + 1 is prime. [Dubner]
The exponential factored form of 414 (2 x 32 x 23) consists of three 2's and two 3's; whereas its expanded form (2 x 3 x 3 x 23) has two 2's and three 3's. [Trotter]
(There is one curio for this number that has not yet been approved by an editor.)
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