243
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Number
$243$ (two hundred and forty-three) is:
- $3^5$
- In ternary:
- $100 \, 000_3$
- The $3$rd fifth power after $1$, $32$:
- $243 = 3 \times 3 \times 3 \times 3 \times 3$
- The number of different binary operations with an identity element that can be applied to a set with $3$ elements
- The $5$th power of $3$ after $(1)$, $3$, $9$, $27$, $81$:
- $243 = 3^5$
- The $26$th powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $108$, $121$, $125$, $128$, $144$, $169$, $196$, $200$, $216$, $225$
- The $2$nd 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 $8$th pair of consecutive integers which both have $6$ divisors:
- $\map {\sigma_0} {243} = \map {\sigma_0} {244} = 6$
- The $2$nd 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 $243$
\(\ds \map {\sigma_0} { 243 }\) | \(=\) | \(\ds 6\) | $\sigma_0$ of $243$ |
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Also see
- Previous ... Next: Count of Binary Operations with Identity
- Previous ... Next: Fifth Power
- Previous ... Next: Sequence of Powers of 3
- Previous ... Next: Powerful Number
- Previous ... Next: Pairs of Consecutive Integers with 6 Divisors
- Previous ... Next: Sequence of 4 Consecutive Integers with Equal Number of Divisors
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $242$
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $243$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $242$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $243$