The number 10589
10589 is the 1291st prime number. Its only divisors are 1 and 10589.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10589: the 1291st prime number.
- 2
10589 is prime, so its only factors are 1 and 10589. It is the 1291st prime; the next prime is 10597 and the one before is 10567.
- 3
The divisors add up to 10590; without 10589 itself that is 1, so 10589 is deficient (1 is less than 10589). Euler's totient φ(10589) = 10588 numbers up to 10589 share no factor with it.
- 4
The digits of 10589 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
10589 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10590 |
| Euler totient φ(n) | 10588 |
| Square | 112126921 |
| Cube | 1187311966469 |
| Square root | 102.902867 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0589 × |
10589 in other forms
| Form | Value |
|---|---|
| In words | ten thousand five hundred and eighty-nine |
| Binary (base 2) | 10100101011101 |
| Octal (base 8) | 24535 |
| Hexadecimal (base 16) | 295D |
| Base 3 | 112112012 |
| As time | 10589 seconds = 2 h 56 min 29 s |
Is 10589 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | 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 10589 a prime number?
Yes. 10589 is divisible only by 1 and itself.
What are the factors of 10589?
1, 10589.
What is 10589 in binary?
10100101011101 (hexadecimal 295D, octal 24535).
What is the square root of 10589?
About 102.9029.
Is 10589 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 10589?
10589 is the 1291st prime number.