The number 22027
22027 is the 2467th prime number. Its only divisors are 1 and 22027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22027: the 2467th prime number.
- 2
22027 is prime, so its only factors are 1 and 22027. It is the 2467th prime; the next prime is 22031 and the one before is 22013.
- 3
The divisors add up to 22028; without 22027 itself that is 1, so 22027 is deficient (1 is less than 22027). Euler's totient φ(22027) = 22026 numbers up to 22027 share no factor with it.
- 4
The digits of 22027 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 193 steps to reach 1.
22027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 22028 |
| Euler totient φ(n) | 22026 |
| Square | 485188729 |
| Cube | 10687252133683 |
| Square root | 148.414959 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 193 |
| Scientific notation | 2.2027 × |
22027 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and twenty-seven |
| Binary (base 2) | 101011000001011 |
| Octal (base 8) | 53013 |
| Hexadecimal (base 16) | 560B |
| Base 3 | 1010012211 |
| As time | 22027 seconds = 6 h 7 min 7 s |
Is 22027 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 2) | 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 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 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22027 a prime number?
Yes. 22027 is divisible only by 1 and itself.
What are the factors of 22027?
1, 22027.
What is 22027 in binary?
101011000001011 (hexadecimal 560B, octal 53013).
What is the square root of 22027?
About 148.4150.
Is 22027 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 22027?
22027 is the 2467th prime number.