The number 12089
12089 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 157. Divisors (8): 1, 7, 11, 77, 157, 1099, 1727, 12089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12089 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12089 is composite. Its prime factorisation is
- 3
The divisors add up to 15168; without 12089 itself that is 3079, so 12089 is deficient (3079 is less than 12089). Euler's totient φ(12089) = 9360 numbers up to 12089 share no factor with it.
- 4
The digits of 12089 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12089 = 7 \times 11 \times 157 \]
12089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15168 |
| Euler totient φ(n) | 9360 |
| Square | 146143921 |
| Cube | 1766733860969 |
| Square root | 109.949989 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.2089 × |
12089 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and eighty-nine |
| Binary (base 2) | 10111100111001 |
| Octal (base 8) | 27471 |
| Hexadecimal (base 16) | 2F39 |
| Base 3 | 121120202 |
| As time | 12089 seconds = 3 h 21 min 29 s |
Is 12089 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 | Yes (12089 ÷ 7 = 1727) | 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 2) | 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 | Yes (12089 ÷ 11 = 1099) | 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 12089 a prime number?
No. 12089 = 7 × 11 × 157, so it is divisible by 7.
What are the factors of 12089?
1, 7, 11, 77, 157, 1099, 1727, 12089.
What is 12089 in binary?
10111100111001 (hexadecimal 2F39, octal 27471).
What is the square root of 12089?
About 109.9500.
Is 12089 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 12089?
It is a composite number with 8 divisors.