The number 27749
27749 is a twin prime (27749 and 27751 are both prime) and the 3027th prime number. Its only divisors are 1 and 27749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27749: a twin prime (27749 and 27751 are both prime); the 3027th prime number.
- 2
27749 is prime, so its only factors are 1 and 27749. It is the 3027th prime; the next prime is 27751 and the one before is 27743.
- 3
The divisors add up to 27750; without 27749 itself that is 1, so 27749 is deficient (1 is less than 27749). Euler's totient φ(27749) = 27748 numbers up to 27749 share no factor with it.
- 4
The digits of 27749 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
27749 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27750 |
| Euler totient φ(n) | 27748 |
| Square | 770007001 |
| Cube | 21366924270749 |
| Square root | 166.580311 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7749 × |
27749 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and forty-nine |
| Binary (base 2) | 110110001100101 |
| Octal (base 8) | 66145 |
| Hexadecimal (base 16) | 6C65 |
| Base 3 | 1102001202 |
| As time | 27749 seconds = 7 h 42 min 29 s |
Is 27749 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 | No (remainder 2) | 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 5) | 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 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27749 a prime number?
Yes. 27749 is divisible only by 1 and itself.
What are the factors of 27749?
1, 27749.
What is 27749 in binary?
110110001100101 (hexadecimal 6C65, octal 66145).
What is the square root of 27749?
About 166.5803.
Is 27749 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 27749?
27749 is a twin prime (27749 and 27751 are both prime); the 3027th prime number.