The number 19089
19089 is a composite number with 16 divisors. Its prime factorisation is × 7 × 101. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 101, 189, 303, 707, 909, 2121, 2727, 6363, 19089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19089: a Harshad number: divisible by its digit sum 27.
- 2
19089 is composite. Its prime factorisation is
- 3
The divisors add up to 32640; without 19089 itself that is 13551, so 19089 is deficient (13551 is less than 19089). Euler's totient φ(19089) = 10800 numbers up to 19089 share no factor with it.
- 4
The digits of 19089 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19089 = 3^{3} \times 7 \times 101 \]19089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32640 |
| Euler totient φ(n) | 10800 |
| Square | 364389921 |
| Cube | 6955839201969 |
| Square root | 138.162947 (= 3√2121) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.9089 × |
19089 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand and eighty-nine |
| Binary (base 2) | 100101010010001 |
| Octal (base 8) | 45221 |
| Hexadecimal (base 16) | 4A91 |
| Base 3 | 222012000 |
| As time | 19089 seconds = 5 h 18 min 9 s |
Is 19089 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 (19089 ÷ 3 = 6363) | 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 | Yes (19089 ÷ 7 = 2727) | 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 (19089 ÷ 9 = 2121) | 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 4) | 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 19089 a prime number?
No. 19089 = × 7 × 101, so it is divisible by 3.
What are the factors of 19089?
1, 3, 7, 9, 21, 27, 63, 101, 189, 303, 707, 909, 2121, 2727, 6363, 19089.
What is 19089 in binary?
100101010010001 (hexadecimal 4A91, octal 45221).
What is the square root of 19089?
About 138.1629, exactly 3√2121.
Is 19089 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 19089?
19089 is a Harshad number: divisible by its digit sum 27.