The number 11889
11889 is a composite number with 6 divisors. Its prime factorisation is × 1321. Divisors (6): 1, 3, 9, 1321, 3963, 11889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11889 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11889 is composite. Its prime factorisation is
- 3
The divisors add up to 17186; without 11889 itself that is 5297, so 11889 is deficient (5297 is less than 11889). Euler's totient φ(11889) = 7920 numbers up to 11889 share no factor with it.
- 4
The digits of 11889 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11889 = 3^{2} \times 1321 \]11889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17186 |
| Euler totient φ(n) | 7920 |
| Square | 141348321 |
| Cube | 1680490188369 |
| Square root | 109.036691 (= 3√1321) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1889 × |
11889 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred and eighty-nine |
| Binary (base 2) | 10111001110001 |
| Octal (base 8) | 27161 |
| Hexadecimal (base 16) | 2E71 |
| Base 3 | 121022100 |
| As time | 11889 seconds = 3 h 18 min 9 s |
Is 11889 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 (11889 ÷ 3 = 3963) | 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 3) | 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 (11889 ÷ 9 = 1321) | 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 9) | 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 11889 a prime number?
No. 11889 = × 1321, so it is divisible by 3.
What are the factors of 11889?
1, 3, 9, 1321, 3963, 11889.
What is 11889 in binary?
10111001110001 (hexadecimal 2E71, octal 27161).
What is the square root of 11889?
About 109.0367, exactly 3√1321.
Is 11889 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 11889?
It is a composite number with 6 divisors.