The number 42709
42709 is the 4466th prime number. Its only divisors are 1 and 42709.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42709: the 4466th prime number.
- 2
42709 is prime, so its only factors are 1 and 42709. It is the 4466th prime; the next prime is 42719 and the one before is 42703.
- 3
The divisors add up to 42710; without 42709 itself that is 1, so 42709 is deficient (1 is less than 42709). Euler's totient φ(42709) = 42708 numbers up to 42709 share no factor with it.
- 4
The digits of 42709 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 150 steps to reach 1.
42709 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42710 |
| Euler totient φ(n) | 42708 |
| Square | 1824058681 |
| Cube | 77903722206829 |
| Square root | 206.661559 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2709 × |
42709 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and nine |
| Binary (base 2) | 1010011011010101 |
| Octal (base 8) | 123325 |
| Hexadecimal (base 16) | A6D5 |
| Base 3 | 2011120211 |
| As time | 42709 seconds = 11 h 51 min 49 s |
Is 42709 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 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 5) | 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 7) | 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 42709 a prime number?
Yes. 42709 is divisible only by 1 and itself.
What are the factors of 42709?
1, 42709.
What is 42709 in binary?
1010011011010101 (hexadecimal A6D5, octal 123325).
What is the square root of 42709?
About 206.6616.
Is 42709 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42709?
42709 is the 4466th prime number.