62
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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
- Previous ... Next: Nontotient
- Previous ... Next: Ulam Number
- Previous ... Next: Semiprime Number
- Previous ... Next: Sequences of 4 Consecutive Integers with Rising Divisor Sum
- Previous ... Next: 91 is Pseudoprime to 35 Bases less than 91
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $62$