The number 27291
27291 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 827. Divisors (8): 1, 3, 11, 33, 827, 2481, 9097, 27291.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27291: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27291 is composite. Its prime factorisation is
- 3
The divisors add up to 39744; without 27291 itself that is 12453, so 27291 is deficient (12453 is less than 27291). Euler's totient φ(27291) = 16520 numbers up to 27291 share no factor with it.
- 4
The digits of 27291 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27291 = 3 \times 11 \times 827 \]
27291 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39744 |
| Euler totient φ(n) | 16520 |
| Square | 744798681 |
| Cube | 20326300803171 |
| Square root | 165.199879 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7291 × |
27291 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and ninety-one |
| Binary (base 2) | 110101010011011 |
| Octal (base 8) | 65233 |
| Hexadecimal (base 16) | 6A9B |
| Base 3 | 1101102210 |
| As time | 27291 seconds = 7 h 34 min 51 s |
Is 27291 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 (27291 ÷ 3 = 9097) | 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 5) | 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 | No (remainder 3) | 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 | Yes (27291 ÷ 11 = 2481) | 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 27291 a prime number?
No. 27291 = 3 × 11 × 827, so it is divisible by 3.
What are the factors of 27291?
1, 3, 11, 33, 827, 2481, 9097, 27291.
What is 27291 in binary?
110101010011011 (hexadecimal 6A9B, octal 65233).
What is the square root of 27291?
About 165.1999.
Is 27291 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27291?
27291 is a happy number: repeatedly adding the squares of its digits reaches 1.