The number 27011
27011 is the 2962nd prime number. Its only divisors are 1 and 27011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27011: the 2962nd prime number.
- 2
27011 is prime, so its only factors are 1 and 27011. It is the 2962nd prime; the next prime is 27017 and the one before is 26993.
- 3
The divisors add up to 27012; without 27011 itself that is 1, so 27011 is deficient (1 is less than 27011). Euler's totient φ(27011) = 27010 numbers up to 27011 share no factor with it.
- 4
The digits of 27011 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 77 steps to reach 1.
27011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27012 |
| Euler totient φ(n) | 27010 |
| Square | 729594121 |
| Cube | 19707066802331 |
| Square root | 164.350236 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.7011 × |
27011 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and eleven |
| Binary (base 2) | 110100110000011 |
| Octal (base 8) | 64603 |
| Hexadecimal (base 16) | 6983 |
| Base 3 | 1101001102 |
| As time | 27011 seconds = 7 h 30 min 11 s |
Is 27011 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 5) | 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 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 27011 a prime number?
Yes. 27011 is divisible only by 1 and itself.
What are the factors of 27011?
1, 27011.
What is 27011 in binary?
110100110000011 (hexadecimal 6983, octal 64603).
What is the square root of 27011?
About 164.3502.
Is 27011 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 27011?
27011 is the 2962nd prime number.