The number 10739
10739 is the 1310th prime number. Its only divisors are 1 and 10739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10739: the 1310th prime number.
- 2
10739 is prime, so its only factors are 1 and 10739. It is the 1310th prime; the next prime is 10753 and the one before is 10733.
- 3
The divisors add up to 10740; without 10739 itself that is 1, so 10739 is deficient (1 is less than 10739). Euler's totient φ(10739) = 10738 numbers up to 10739 share no factor with it.
- 4
The digits of 10739 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
10739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10740 |
| Euler totient φ(n) | 10738 |
| Square | 115326121 |
| Cube | 1238487213419 |
| Square root | 103.629146 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 1.0739 × |
10739 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and thirty-nine |
| Binary (base 2) | 10100111110011 |
| Octal (base 8) | 24763 |
| Hexadecimal (base 16) | 29F3 |
| Base 3 | 112201202 |
| As time | 10739 seconds = 2 h 58 min 59 s |
Is 10739 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 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 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10739 a prime number?
Yes. 10739 is divisible only by 1 and itself.
What are the factors of 10739?
1, 10739.
What is 10739 in binary?
10100111110011 (hexadecimal 29F3, octal 24763).
What is the square root of 10739?
About 103.6291.
Is 10739 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 10739?
10739 is the 1310th prime number.