The number 27891
27891 is a composite number with 8 divisors. Its prime factorisation is × 1033. Divisors (8): 1, 3, 9, 27, 1033, 3099, 9297, 27891.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27891: a Harshad number: divisible by its digit sum 27.
- 2
27891 is composite. Its prime factorisation is
- 3
The divisors add up to 41360; without 27891 itself that is 13469, so 27891 is deficient (13469 is less than 27891). Euler's totient φ(27891) = 18576 numbers up to 27891 share no factor with it.
- 4
The digits of 27891 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27891 = 3^{3} \times 1033 \]27891 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41360 |
| Euler totient φ(n) | 18576 |
| Square | 777907881 |
| Cube | 21696628708971 |
| Square root | 167.005988 (= 3√3099) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7891 × |
27891 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and ninety-one |
| Binary (base 2) | 110110011110011 |
| Octal (base 8) | 66363 |
| Hexadecimal (base 16) | 6CF3 |
| Base 3 | 1102021000 |
| As time | 27891 seconds = 7 h 44 min 51 s |
Is 27891 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 (27891 ÷ 3 = 9297) | 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 1) | 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 (27891 ÷ 9 = 3099) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 27891 a prime number?
No. 27891 = × 1033, so it is divisible by 3.
What are the factors of 27891?
1, 3, 9, 27, 1033, 3099, 9297, 27891.
What is 27891 in binary?
110110011110011 (hexadecimal 6CF3, octal 66363).
What is the square root of 27891?
About 167.0060, exactly 3√3099.
Is 27891 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27891?
27891 is a Harshad number: divisible by its digit sum 27.