The number 9011
9011 is a twin prime (9011 and 9013 are both prime) and the 1120th prime number. Its only divisors are 1 and 9011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9011: a twin prime (9011 and 9013 are both prime); the 1120th prime number.
- 2
9011 is prime, so its only factors are 1 and 9011. It is the 1120th prime; the next prime is 9013 and the one before is 9007.
- 3
The divisors add up to 9012; without 9011 itself that is 1, so 9011 is deficient (1 is less than 9011). Euler's totient φ(9011) = 9010 numbers up to 9011 share no factor with it.
- 4
The digits of 9011 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
9011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9012 |
| Euler totient φ(n) | 9010 |
| Square | 81198121 |
| Cube | 731676268331 |
| Square root | 94.926287 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 39 |
| Scientific notation | 9.011 × |
9011 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and eleven |
| Binary (base 2) | 10001100110011 |
| Octal (base 8) | 21463 |
| Hexadecimal (base 16) | 2333 |
| Base 3 | 110100202 |
| As time | 9011 seconds = 2 h 30 min 11 s |
Is 9011 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 1) | 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 2) | 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 2) | 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 2) | 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 9011 a prime number?
Yes. 9011 is divisible only by 1 and itself.
What are the factors of 9011?
1, 9011.
What is 9011 in binary?
10001100110011 (hexadecimal 2333, octal 21463).
What is the square root of 9011?
About 94.9263.
Is 9011 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 9011?
9011 is a twin prime (9011 and 9013 are both prime); the 1120th prime number.