2187
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Number
$2187$ (two thousand, one hundred and eighty-seven) is:
- $3^7$
- The $3$rd seventh power after $1$, $128$:
- $2187 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3$
- Thus in ternary:
- $2187_{10} = 10 \, 000 \, 000_3$
- The $4$th term of a sequence of $17$ consecutive integers all of which are not coprime with the product of the other $16$:
- $2187 \mathrel \not \perp \ds \prod_{\substack {2184 \mathop \le k \mathop \le 2200 \\ k \mathop \ne 2187} } k$
- The $7$th power of $3$ after $(1)$, $3$, $9$, $27$, $81$, $243$, $729$:
- $2187 = 3^7$
Also see
- Previous ... Next: Sequence of Powers of 3
- Previous ... Next: Seventh Power
- Previous ... Next: 17 Consecutive Integers each with Common Factor with Product of other 16
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $2187$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2187$