The number 27231
27231 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 313. Divisors (8): 1, 3, 29, 87, 313, 939, 9077, 27231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27231 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27231 is composite. Its prime factorisation is
- 3
The divisors add up to 37680; without 27231 itself that is 10449, so 27231 is deficient (10449 is less than 27231). Euler's totient φ(27231) = 17472 numbers up to 27231 share no factor with it.
- 4
The digits of 27231 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27231 = 3 \times 29 \times 313 \]
27231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37680 |
| Euler totient φ(n) | 17472 |
| Square | 741527361 |
| Cube | 20192531567391 |
| Square root | 165.018181 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7231 × |
27231 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and thirty-one |
| Binary (base 2) | 110101001011111 |
| Octal (base 8) | 65137 |
| Hexadecimal (base 16) | 6A5F |
| Base 3 | 1101100120 |
| As time | 27231 seconds = 7 h 33 min 51 s |
Is 27231 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 (27231 ÷ 3 = 9077) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 27231 a prime number?
No. 27231 = 3 × 29 × 313, so it is divisible by 3.
What are the factors of 27231?
1, 3, 29, 87, 313, 939, 9077, 27231.
What is 27231 in binary?
110101001011111 (hexadecimal 6A5F, octal 65137).
What is the square root of 27231?
About 165.0182.
Is 27231 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27231?
It is a composite number with 8 divisors.