146
Jump to navigation
Jump to search
Number
$146$ (one hundred and forty-six) is:
- $2 \times 73$
- The $2$nd term of the $3$rd $5$-tuple of consecutive integers have the property that they are not values of the divisor sum function $\map {\sigma_1} n$ for any $n$:
- $\tuple {145, 146, 147, 148, 149}$
- The $7$th of the $17$ positive integers for which the value of the Euler $\phi$ function is $72$:
- $73$, $91$, $95$, $111$, $117$, $135$, $146$, $148$, $152$, $182$, $190$, $216$, $222$, $228$, $234$, $252$, $270$
- The $8$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$.
- The $13$th noncototient after $10$, $26$, $34$, $50$, $52$, $58$, $86$, $100$, $116$, $122$, $130$, $134$:
- $\nexists m \in \Z_{>0}: m - \map \phi m = 146$
- where $\map \phi m$ denotes the Euler $\phi$ function
- The $19$th nontotient after $14$, $26$, $34$, $38$, $50$, $62$, $68$, $74$, $76$, $86$, $90$, $94$, $98$, $114$, $118$, $122$, $124$, $134$, $142$:
- $\nexists m \in \Z_{>0}: \map \phi m = 146$
- where $\map \phi m$ denotes the Euler $\phi$ function