The number 39709
39709 is the 4174th prime number. Its only divisors are 1 and 39709.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39709: the 4174th prime number.
- 2
39709 is prime, so its only factors are 1 and 39709. It is the 4174th prime; the next prime is 39719 and the one before is 39703.
- 3
The divisors add up to 39710; without 39709 itself that is 1, so 39709 is deficient (1 is less than 39709). Euler's totient φ(39709) = 39708 numbers up to 39709 share no factor with it.
- 4
The digits of 39709 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 137 steps to reach 1.
39709 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 39710 |
| Euler totient φ(n) | 39708 |
| Square | 1576804681 |
| Cube | 62613337077829 |
| Square root | 199.271172 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9709 × |
39709 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and nine |
| Binary (base 2) | 1001101100011101 |
| Octal (base 8) | 115435 |
| Hexadecimal (base 16) | 9B1D |
| Base 3 | 2000110201 |
| As time | 39709 seconds = 11 h 1 min 49 s |
Is 39709 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 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 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 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39709 a prime number?
Yes. 39709 is divisible only by 1 and itself.
What are the factors of 39709?
1, 39709.
What is 39709 in binary?
1001101100011101 (hexadecimal 9B1D, octal 115435).
What is the square root of 39709?
About 199.2712.
Is 39709 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 39709?
39709 is the 4174th prime number.