The number 18089
18089 is the 2073rd prime number. Its only divisors are 1 and 18089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18089: the 2073rd prime number.
- 2
18089 is prime, so its only factors are 1 and 18089. It is the 2073rd prime; the next prime is 18097 and the one before is 18077.
- 3
The divisors add up to 18090; without 18089 itself that is 1, so 18089 is deficient (1 is less than 18089). Euler's totient φ(18089) = 18088 numbers up to 18089 share no factor with it.
- 4
The digits of 18089 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.
18089 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18090 |
| Euler totient φ(n) | 18088 |
| Square | 327211921 |
| Cube | 5918936438969 |
| Square root | 134.495353 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.8089 × |
18089 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and eighty-nine |
| Binary (base 2) | 100011010101001 |
| Octal (base 8) | 43251 |
| Hexadecimal (base 16) | 46A9 |
| Base 3 | 220210222 |
| As time | 18089 seconds = 5 h 1 min 29 s |
Is 18089 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18089 a prime number?
Yes. 18089 is divisible only by 1 and itself.
What are the factors of 18089?
1, 18089.
What is 18089 in binary?
100011010101001 (hexadecimal 46A9, octal 43251).
What is the square root of 18089?
About 134.4954.
Is 18089 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 18089?
18089 is the 2073rd prime number.