The number 13189
13189 is a composite number with 6 divisors. Its prime factorisation is Ć 109. Divisors (6): 1, 11, 109, 121, 1199, 13189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13189 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13189 is composite. Its prime factorisation is
- 3
The divisors add up to 14630; without 13189 itself that is 1441, so 13189 is deficient (1441 is less than 13189). Euler's totient Ļ(13189) = 11880 numbers up to 13189 share no factor with it.
- 4
The digits of 13189 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13189 = 11^{2} \times 109 \]13189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14630 |
| Euler totient Ļ(n) | 11880 |
| Square | 173949721 |
| Cube | 2294222870269 |
| Square root | 114.843372 (= 11ā109) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.3189 Ć |
13189 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and eighty-nine |
| Binary (base 2) | 11001110000101 |
| Octal (base 8) | 31605 |
| Hexadecimal (base 16) | 3385 |
| Base 3 | 200002111 |
| As time | 13189 seconds = 3 h 39 min 49 s |
Is 13189 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 (13189 Ć· 11 = 1199) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13189 a prime number?
No. 13189 = Ć 109, so it is divisible by 11.
What are the factors of 13189?
1, 11, 109, 121, 1199, 13189.
What is 13189 in binary?
11001110000101 (hexadecimal 3385, octal 31605).
What is the square root of 13189?
About 114.8434, exactly 11ā109.
Is 13189 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13189?
It is a composite number with 6 divisors.