The number 13089
13089 is a composite number with 4 divisors. Its prime factorisation is 3 × 4363. Divisors (4): 1, 3, 4363, 13089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13089: a semiprime: 3 × 4363, the product of two primes.
- 2
13089 is composite. Its prime factorisation is
- 3
The divisors add up to 17456; without 13089 itself that is 4367, so 13089 is deficient (4367 is less than 13089). Euler's totient φ(13089) = 8724 numbers up to 13089 share no factor with it.
- 4
The digits of 13089 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13089 = 3 \times 4363 \]
13089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17456 |
| Euler totient φ(n) | 8724 |
| Square | 171321921 |
| Cube | 2242432623969 |
| Square root | 114.407168 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3089 × |
13089 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and eighty-nine |
| Binary (base 2) | 11001100100001 |
| Octal (base 8) | 31441 |
| Hexadecimal (base 16) | 3321 |
| Base 3 | 122221210 |
| As time | 13089 seconds = 3 h 38 min 9 s |
Is 13089 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 (13089 ÷ 3 = 4363) | 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 6) | 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 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 10) | 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 13089 a prime number?
No. 13089 = 3 × 4363, so it is divisible by 3.
What are the factors of 13089?
1, 3, 4363, 13089.
What is 13089 in binary?
11001100100001 (hexadecimal 3321, octal 31441).
What is the square root of 13089?
About 114.4072.
Is 13089 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13089?
13089 is a semiprime: 3 × 4363, the product of two primes.