The number 27249
27249 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 293. Divisors (8): 1, 3, 31, 93, 293, 879, 9083, 27249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27249 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27249 is composite. Its prime factorisation is
- 3
The divisors add up to 37632; without 27249 itself that is 10383, so 27249 is deficient (10383 is less than 27249). Euler's totient φ(27249) = 17520 numbers up to 27249 share no factor with it.
- 4
The digits of 27249 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27249 = 3 \times 31 \times 293 \]
27249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37632 |
| Euler totient φ(n) | 17520 |
| Square | 742508001 |
| Cube | 20232600519249 |
| Square root | 165.072711 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7249 × |
27249 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and forty-nine |
| Binary (base 2) | 110101001110001 |
| Octal (base 8) | 65161 |
| Hexadecimal (base 16) | 6A71 |
| Base 3 | 1101101020 |
| As time | 27249 seconds = 7 h 34 min 9 s |
Is 27249 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 (27249 ÷ 3 = 9083) | 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 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 27249 a prime number?
No. 27249 = 3 × 31 × 293, so it is divisible by 3.
What are the factors of 27249?
1, 3, 31, 93, 293, 879, 9083, 27249.
What is 27249 in binary?
110101001110001 (hexadecimal 6A71, octal 65161).
What is the square root of 27249?
About 165.0727.
Is 27249 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27249?
It is a composite number with 8 divisors.