The number 40039
40039 is a twin prime (40037 and 40039 are both prime) and the 4208th prime number. Its only divisors are 1 and 40039.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40039: a twin prime (40037 and 40039 are both prime); the 4208th prime number.
- 2
40039 is prime, so its only factors are 1 and 40039. It is the 4208th prime; the next prime is 40063 and the one before is 40037.
- 3
The divisors add up to 40040; without 40039 itself that is 1, so 40039 is deficient (1 is less than 40039). Euler's totient φ(40039) = 40038 numbers up to 40039 share no factor with it.
- 4
The digits of 40039 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
40039 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40040 |
| Euler totient φ(n) | 40038 |
| Square | 1603121521 |
| Cube | 64187382579319 |
| Square root | 200.097476 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0039 × |
40039 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and thirty-nine |
| Binary (base 2) | 1001110001100111 |
| Octal (base 8) | 116147 |
| Hexadecimal (base 16) | 9C67 |
| Base 3 | 2000220221 |
| As time | 40039 seconds = 11 h 7 min 19 s |
Is 40039 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40039 a prime number?
Yes. 40039 is divisible only by 1 and itself.
What are the factors of 40039?
1, 40039.
What is 40039 in binary?
1001110001100111 (hexadecimal 9C67, octal 116147).
What is the square root of 40039?
About 200.0975.
Is 40039 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40039?
40039 is a twin prime (40037 and 40039 are both prime); the 4208th prime number.