The number 8011
8011 is a twin prime (8009 and 8011 are both prime) and the 1009th prime number. Its only divisors are 1 and 8011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8011: a twin prime (8009 and 8011 are both prime); the 1009th prime number.
- 2
8011 is prime, so its only factors are 1 and 8011. It is the 1009th prime; the next prime is 8017 and the one before is 8009.
- 3
The divisors add up to 8012; without 8011 itself that is 1, so 8011 is deficient (1 is less than 8011). Euler's totient φ(8011) = 8010 numbers up to 8011 share no factor with it.
- 4
The digits of 8011 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
8011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8012 |
| Euler totient φ(n) | 8010 |
| Square | 64176121 |
| Cube | 514114905331 |
| Square root | 89.504190 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.011 × |
8011 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and eleven |
| Binary (base 2) | 1111101001011 |
| Octal (base 8) | 17513 |
| Hexadecimal (base 16) | 1F4B |
| Base 3 | 101222201 |
| As time | 8011 seconds = 2 h 13 min 31 s |
Is 8011 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 1) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 8011 a prime number?
Yes. 8011 is divisible only by 1 and itself.
What are the factors of 8011?
1, 8011.
What is 8011 in binary?
1111101001011 (hexadecimal 1F4B, octal 17513).
What is the square root of 8011?
About 89.5042.
Is 8011 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 8011?
8011 is a twin prime (8009 and 8011 are both prime); the 1009th prime number.