The number 27189
27189 is a composite number with 16 divisors. Its prime factorisation is × 19 × 53. Divisors (16): 1, 3, 9, 19, 27, 53, 57, 159, 171, 477, 513, 1007, 1431, 3021, 9063, 27189.
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How to work it out
- 1
What is special about 27189: a Harshad number: divisible by its digit sum 27.
- 2
27189 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 27189 itself that is 16011, so 27189 is deficient (16011 is less than 27189). Euler's totient φ(27189) = 16848 numbers up to 27189 share no factor with it.
- 4
The digits of 27189 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27189 = 3^{3} \times 19 \times 53 \]27189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 16848 |
| Square | 739241721 |
| Cube | 20099243152269 |
| Square root | 164.890873 (= 3√3021) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7189 × |
27189 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and eighty-nine |
| Binary (base 2) | 110101000110101 |
| Octal (base 8) | 65065 |
| Hexadecimal (base 16) | 6A35 |
| Base 3 | 1101022000 |
| As time | 27189 seconds = 7 h 33 min 9 s |
Is 27189 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 (27189 ÷ 3 = 9063) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27189 ÷ 9 = 3021) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27189 a prime number?
No. 27189 = × 19 × 53, so it is divisible by 3.
What are the factors of 27189?
1, 3, 9, 19, 27, 53, 57, 159, 171, 477, 513, 1007, 1431, 3021, 9063, 27189.
What is 27189 in binary?
110101000110101 (hexadecimal 6A35, octal 65065).
What is the square root of 27189?
About 164.8909, exactly 3√3021.
Is 27189 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27189?
27189 is a Harshad number: divisible by its digit sum 27.