The number 9739
9739 is the 1201st prime number. Its only divisors are 1 and 9739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9739: the 1201st prime number.
- 2
9739 is prime, so its only factors are 1 and 9739. It is the 1201st prime; the next prime is 9743 and the one before is 9733.
- 3
The divisors add up to 9740; without 9739 itself that is 1, so 9739 is deficient (1 is less than 9739). Euler's totient φ(9739) = 9738 numbers up to 9739 share no factor with it.
- 4
The digits of 9739 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 47 steps to reach 1.
9739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9740 |
| Euler totient φ(n) | 9738 |
| Square | 94848121 |
| Cube | 923725850419 |
| Square root | 98.686372 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.739 × |
9739 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and thirty-nine |
| Binary (base 2) | 10011000001011 |
| Octal (base 8) | 23013 |
| Hexadecimal (base 16) | 260B |
| Base 3 | 111100201 |
| As time | 9739 seconds = 2 h 42 min 19 s |
Is 9739 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 2) | 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 4) | 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 9739 a prime number?
Yes. 9739 is divisible only by 1 and itself.
What are the factors of 9739?
1, 9739.
What is 9739 in binary?
10011000001011 (hexadecimal 260B, octal 23013).
What is the square root of 9739?
About 98.6864.
Is 9739 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9739?
9739 is the 1201st prime number.