The number 12189
12189 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 239. Divisors (8): 1, 3, 17, 51, 239, 717, 4063, 12189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12189 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12189 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 12189 itself that is 5091, so 12189 is deficient (5091 is less than 12189). Euler's totient φ(12189) = 7616 numbers up to 12189 share no factor with it.
- 4
The digits of 12189 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12189 = 3 \times 17 \times 239 \]
12189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 7616 |
| Square | 148571721 |
| Cube | 1810940707269 |
| Square root | 110.403804 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2189 × |
12189 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and eighty-nine |
| Binary (base 2) | 10111110011101 |
| Octal (base 8) | 27635 |
| Hexadecimal (base 16) | 2F9D |
| Base 3 | 121201110 |
| As time | 12189 seconds = 3 h 23 min 9 s |
Is 12189 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 (12189 ÷ 3 = 4063) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | 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 12189 a prime number?
No. 12189 = 3 × 17 × 239, so it is divisible by 3.
What are the factors of 12189?
1, 3, 17, 51, 239, 717, 4063, 12189.
What is 12189 in binary?
10111110011101 (hexadecimal 2F9D, octal 27635).
What is the square root of 12189?
About 110.4038.
Is 12189 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 12189?
It is a composite number with 8 divisors.