The number 8039
8039 is the 1011th prime number. Its only divisors are 1 and 8039.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8039: the 1011th prime number.
- 2
8039 is prime, so its only factors are 1 and 8039. It is the 1011th prime; the next prime is 8053 and the one before is 8017.
- 3
The divisors add up to 8040; without 8039 itself that is 1, so 8039 is deficient (1 is less than 8039). Euler's totient φ(8039) = 8038 numbers up to 8039 share no factor with it.
- 4
The digits of 8039 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 189 steps to reach 1.
8039 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8040 |
| Euler totient φ(n) | 8038 |
| Square | 64625521 |
| Cube | 519524563319 |
| Square root | 89.660471 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 189 |
| Scientific notation | 8.039 × |
8039 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and thirty-nine |
| Binary (base 2) | 1111101100111 |
| Octal (base 8) | 17547 |
| Hexadecimal (base 16) | 1F67 |
| Base 3 | 102000202 |
| As time | 8039 seconds = 2 h 13 min 59 s |
Is 8039 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 3) | 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 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8039 a prime number?
Yes. 8039 is divisible only by 1 and itself.
What are the factors of 8039?
1, 8039.
What is 8039 in binary?
1111101100111 (hexadecimal 1F67, octal 17547).
What is the square root of 8039?
About 89.6605.
Is 8039 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8039?
8039 is the 1011th prime number.