The number 2187
2187 is a perfect power (). Its prime factorisation is . Divisors (8): 1, 3, 9, 27, 81, 243, 729, 2187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2187: a perfect power ().
- 2
2187 is composite. Its prime factorisation is
- 3
The divisors add up to 3280; without 2187 itself that is 1093, so 2187 is deficient (1093 is less than 2187). Euler's totient φ(2187) = 1458 numbers up to 2187 share no factor with it.
- 4
The digits of 2187 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2187 = 3^{7} \]2187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3280 |
| Euler totient φ(n) | 1458 |
| Square | 4782969 |
| Cube | 10460353203 |
| Square root | 46.765372 (= 27√3) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 2.187 × |
| Perfect power |
2187 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and eighty-seven |
| Roman numerals | MMCLXXXVII |
| Binary (base 2) | 100010001011 |
| Octal (base 8) | 4213 |
| Hexadecimal (base 16) | 88B |
| Base 3 | 10000000 |
| As time | 2187 seconds = 36 min 27 s |
Is 2187 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2187 ÷ 3 = 729) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2187 ÷ 9 = 243) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2187 a prime number?
No. 2187 = , so it is divisible by 3.
What are the factors of 2187?
1, 3, 9, 27, 81, 243, 729, 2187.
What is 2187 in binary?
100010001011 (hexadecimal 88B, octal 4213).
What is the square root of 2187?
About 46.7654, exactly 27√3.
What is 2187 in Roman numerals?
MMCLXXXVII.
Is 2187 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2187?
2187 is a perfect power ().