The number 10089
10089 is a composite number with 12 divisors. Its prime factorisation is × 19 × 59. Divisors (12): 1, 3, 9, 19, 57, 59, 171, 177, 531, 1121, 3363, 10089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10089 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10089 is composite. Its prime factorisation is
- 3
The divisors add up to 15600; without 10089 itself that is 5511, so 10089 is deficient (5511 is less than 10089). Euler's totient φ(10089) = 6264 numbers up to 10089 share no factor with it.
- 4
The digits of 10089 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10089 = 3^{2} \times 19 \times 59 \]10089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15600 |
| Euler totient φ(n) | 6264 |
| Square | 101787921 |
| Cube | 1026938334969 |
| Square root | 100.444014 (= 3√1121) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0089 × |
10089 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and eighty-nine |
| Binary (base 2) | 10011101101001 |
| Octal (base 8) | 23551 |
| Hexadecimal (base 16) | 2769 |
| Base 3 | 111211200 |
| As time | 10089 seconds = 2 h 48 min 9 s |
Is 10089 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 | Yes (10089 ÷ 3 = 3363) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10089 ÷ 9 = 1121) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10089 a prime number?
No. 10089 = × 19 × 59, so it is divisible by 3.
What are the factors of 10089?
1, 3, 9, 19, 57, 59, 171, 177, 531, 1121, 3363, 10089.
What is 10089 in binary?
10011101101001 (hexadecimal 2769, octal 23551).
What is the square root of 10089?
About 100.4440, exactly 3√1121.
Is 10089 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 10089?
It is a composite number with 12 divisors.