62

Number
$62$ (sixty-two) is:
 * $2 \times 31$


 * The $1$st inconsummate number:
 * $\nexists n \in \Z_{>0}: n = 62 \times \map {s_{10} } n$


 * The $2$nd of the $1$st ordered quadruple of consecutive integers that have divisor sums which are strictly increasing:
 * $\map {\sigma_1} {61} = 62$, $\map {\sigma_1} {62} = 96$, $\map {\sigma_1} {63} = 104$, $\map {\sigma_1} {64} = 127$


 * The $6$th nontotient after $14$, $26$, $34$, $38$, $50$:
 * $\nexists m \in \Z_{>0}: \map \phi m = 62$
 * where $\map \phi m$ denotes the Euler $\phi$ function


 * The $19$th Ulam number after $1$, $2$, $3$, $4$, $6$, $8$, $11$, $13$, $16$, $18$, $26$, $28$, $36$, $38$, $47$, $48$, $53$, $57$:
 * $62 = 26 + 36$


 * The $22$nd semiprime:
 * $62 = 2 \times 31$


 * The $23$rd of $35$ integers less than $91$ to which $91$ itself is a Fermat pseudoprime:
 * $3$, $4$, $9$, $10$, $12$, $16$, $17$, $22$, $23$, $25$, $27$, $29$, $30$, $36$, $38$, $40$, $43$, $48$, $51$, $53$, $55$, $61$, $62$, $\ldots$

Also see