242
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Number
$242$ (two hundred and forty-two) is:
- $2 \times 11^2$
- The $36$th nontotient:
- $\nexists m \in \Z_{>0}: \map \phi m = 242$
- where $\map \phi m$ denotes the Euler $\phi$ function
- The $9$th integer after $0$, $1$, $2$, $4$, $8$, $121$, $151$, $212$ which is palindromic in both decimal and ternary:
- $242_{10} = 22 \, 222_3$
- The $1$st of the $7$th pair of consecutive integers which both have $6$ divisors:
- $\map {\sigma_0} {242} = \map {\sigma_0} {243} = 6$
- The $1$st of the $1$st quadruple of consecutive integers which all have an equal divisors:
- $\map {\sigma_0} {242} = \map {\sigma_0} {243} = \map {\sigma_0} {244} = \map {\sigma_0} {245} = 6$
Arithmetic Functions on $242$
\(\ds \map {\sigma_0} { 242 }\) | \(=\) | \(\ds 6\) | $\sigma_0$ of $242$ |
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Also see
- Previous ... Next: Pairs of Consecutive Integers with 6 Divisors
- Previous ... Next: Palindromes in Base 10 and Base 3
- Previous ... Next: Nontotient
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $242$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $242$