The number 11027
11027 is the 1337th prime number. Its only divisors are 1 and 11027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11027: the 1337th prime number.
- 2
11027 is prime, so its only factors are 1 and 11027. It is the 1337th prime; the next prime is 11047 and the one before is 11003.
- 3
The divisors add up to 11028; without 11027 itself that is 1, so 11027 is deficient (1 is less than 11027). Euler's totient φ(11027) = 11026 numbers up to 11027 share no factor with it.
- 4
The digits of 11027 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 99 steps to reach 1.
11027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11028 |
| Euler totient φ(n) | 11026 |
| Square | 121594729 |
| Cube | 1340825076683 |
| Square root | 105.009523 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.1027 × |
11027 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and twenty-seven |
| Binary (base 2) | 10101100010011 |
| Octal (base 8) | 25423 |
| Hexadecimal (base 16) | 2B13 |
| Base 3 | 120010102 |
| As time | 11027 seconds = 3 h 3 min 47 s |
Is 11027 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 2) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 11027 a prime number?
Yes. 11027 is divisible only by 1 and itself.
What are the factors of 11027?
1, 11027.
What is 11027 in binary?
10101100010011 (hexadecimal 2B13, octal 25423).
What is the square root of 11027?
About 105.0095.
Is 11027 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 11027?
11027 is the 1337th prime number.