The number 12739
12739 is the 1520th prime number. Its only divisors are 1 and 12739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12739: the 1520th prime number.
- 2
12739 is prime, so its only factors are 1 and 12739. It is the 1520th prime; the next prime is 12743 and the one before is 12721.
- 3
The divisors add up to 12740; without 12739 itself that is 1, so 12739 is deficient (1 is less than 12739). Euler's totient φ(12739) = 12738 numbers up to 12739 share no factor with it.
- 4
The digits of 12739 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
12739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12740 |
| Euler totient φ(n) | 12738 |
| Square | 162282121 |
| Cube | 2067311939419 |
| Square root | 112.867179 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.2739 × |
12739 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and thirty-nine |
| Binary (base 2) | 11000111000011 |
| Octal (base 8) | 30703 |
| Hexadecimal (base 16) | 31C3 |
| Base 3 | 122110211 |
| As time | 12739 seconds = 3 h 32 min 19 s |
Is 12739 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 6) | 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 4) | 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 1) | 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 12739 a prime number?
Yes. 12739 is divisible only by 1 and itself.
What are the factors of 12739?
1, 12739.
What is 12739 in binary?
11000111000011 (hexadecimal 31C3, octal 30703).
What is the square root of 12739?
About 112.8672.
Is 12739 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 12739?
12739 is the 1520th prime number.