The number 8550
8550 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 19. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57 … 8550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8550: a Harshad number: divisible by its digit sum 18.
- 2
8550 is composite. Its prime factorisation is
- 3
The divisors add up to 24180; without 8550 itself that is 15630, so 8550 is abundant (15630 is more than 8550). Euler's totient φ(8550) = 2160 numbers up to 8550 share no factor with it.
- 4
The digits of 8550 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8550 = 2 \times 3^{2} \times 5^{2} \times 19 \]8550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 24180 |
| Euler totient φ(n) | 2160 |
| Square | 73102500 |
| Cube | 625026375000 |
| Square root | 92.466210 (= 15√38) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.55 × |
8550 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and fifty |
| Binary (base 2) | 10000101100110 |
| Octal (base 8) | 20546 |
| Hexadecimal (base 16) | 2166 |
| Base 3 | 102201200 |
| As time | 8550 seconds = 2 h 22 min 30 s |
Is 8550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8550 ÷ 2 = 4275) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8550 ÷ 3 = 2850) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8550 ÷ 5 = 1710) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8550 ÷ 6 = 1425) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8550 ÷ 9 = 950) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8550 ÷ 10 = 855) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8550 a prime number?
No. 8550 = 2 × × × 19, so it is divisible by 2.
What are the factors of 8550?
1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275, 8550.
What is 8550 in binary?
10000101100110 (hexadecimal 2166, octal 20546).
What is the square root of 8550?
About 92.4662, exactly 15√38.
Is 8550 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8550?
8550 is a Harshad number: divisible by its digit sum 18.