The number 40709
40709 is the 4264th prime number. Its only divisors are 1 and 40709.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40709: the 4264th prime number.
- 2
40709 is prime, so its only factors are 1 and 40709. It is the 4264th prime; the next prime is 40739 and the one before is 40699.
- 3
The divisors add up to 40710; without 40709 itself that is 1, so 40709 is deficient (1 is less than 40709). Euler's totient φ(40709) = 40708 numbers up to 40709 share no factor with it.
- 4
The digits of 40709 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 36 steps to reach 1.
40709 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40710 |
| Euler totient φ(n) | 40708 |
| Square | 1657222681 |
| Cube | 67463878120829 |
| Square root | 201.764714 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0709 × |
40709 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and nine |
| Binary (base 2) | 1001111100000101 |
| Octal (base 8) | 117405 |
| Hexadecimal (base 16) | 9F05 |
| Base 3 | 2001211202 |
| As time | 40709 seconds = 11 h 18 min 29 s |
Is 40709 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40709 a prime number?
Yes. 40709 is divisible only by 1 and itself.
What are the factors of 40709?
1, 40709.
What is 40709 in binary?
1001111100000101 (hexadecimal 9F05, octal 117405).
What is the square root of 40709?
About 201.7647.
Is 40709 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40709?
40709 is the 4264th prime number.