The number 40739
40739 is the 4265th prime number. Its only divisors are 1 and 40739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40739: the 4265th prime number.
- 2
40739 is prime, so its only factors are 1 and 40739. It is the 4265th prime; the next prime is 40751 and the one before is 40709.
- 3
The divisors add up to 40740; without 40739 itself that is 1, so 40739 is deficient (1 is less than 40739). Euler's totient φ(40739) = 40738 numbers up to 40739 share no factor with it.
- 4
The digits of 40739 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
40739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40740 |
| Euler totient φ(n) | 40738 |
| Square | 1659666121 |
| Cube | 67613138103419 |
| Square root | 201.839045 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0739 × |
40739 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and thirty-nine |
| Binary (base 2) | 1001111100100011 |
| Octal (base 8) | 117443 |
| Hexadecimal (base 16) | 9F23 |
| Base 3 | 2001212212 |
| As time | 40739 seconds = 11 h 18 min 59 s |
Is 40739 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 6) | 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 5) | 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 6) | 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 40739 a prime number?
Yes. 40739 is divisible only by 1 and itself.
What are the factors of 40739?
1, 40739.
What is 40739 in binary?
1001111100100011 (hexadecimal 9F23, octal 117443).
What is the square root of 40739?
About 201.8390.
Is 40739 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40739?
40739 is the 4265th prime number.