The number 27739
27739 is a twin prime (27737 and 27739 are both prime) and the 3025th prime number. Its only divisors are 1 and 27739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27739: a twin prime (27737 and 27739 are both prime); the 3025th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27739 is prime, so its only factors are 1 and 27739. It is the 3025th prime; the next prime is 27743 and the one before is 27737.
- 3
The divisors add up to 27740; without 27739 itself that is 1, so 27739 is deficient (1 is less than 27739). Euler's totient φ(27739) = 27738 numbers up to 27739 share no factor with it.
- 4
The digits of 27739 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
27739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27740 |
| Euler totient φ(n) | 27738 |
| Square | 769452121 |
| Cube | 21343832384419 |
| Square root | 166.550293 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7739 × |
27739 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and thirty-nine |
| Binary (base 2) | 110110001011011 |
| Octal (base 8) | 66133 |
| Hexadecimal (base 16) | 6C5B |
| Base 3 | 1102001101 |
| As time | 27739 seconds = 7 h 42 min 19 s |
Is 27739 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 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27739 a prime number?
Yes. 27739 is divisible only by 1 and itself.
What are the factors of 27739?
1, 27739.
What is 27739 in binary?
110110001011011 (hexadecimal 6C5B, octal 66133).
What is the square root of 27739?
About 166.5503.
Is 27739 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27739?
27739 is a twin prime (27737 and 27739 are both prime); the 3025th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.