362

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Number

$362$ (three hundred and sixty-two) is:

$2 \times 181$

The $3$rd positive integer after $1$, $87$ whose divisor sum of its Euler $\phi$ value equals its divisor sum:

$\map {\sigma_1} {\map \phi {362} } = \map {\sigma_1} {180} = 546 = \map {\sigma_1} {362}$

The index (after $2$, $3$, $6$, $30$, $75$, $81$, $115$, $123$, $249$) of the $10$th Woodall prime:

$362 \times 2^{362} - 1$

The $36$th noncototient after $10$, $26$, $34$, $50$, $\ldots$, $290$, $292$, $298$, $310$, $326$, $340$, $344$, $346$:

$\nexists m \in \Z_{>0}: m - \map \phi m = 362$

where $\map \phi m$ denotes the Euler $\phi$ function

Also see

• Previous  ... Next: Integers for which Divisor Sum of Phi equals Divisor Sum
• Previous  ... Next: Woodall Prime
• Previous  ... Next: Noncototient