The number 17550
17550 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 13. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45 … 17550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17550: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
17550 is composite. Its prime factorisation is
- 3
The divisors add up to 52080; without 17550 itself that is 34530, so 17550 is abundant (34530 is more than 17550). Euler's totient φ(17550) = 4320 numbers up to 17550 share no factor with it.
- 4
The digits of 17550 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 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17550 = 2 \times 3^{3} \times 5^{2} \times 13 \]17550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 52080 |
| Euler totient φ(n) | 4320 |
| Square | 308002500 |
| Cube | 5405443875000 |
| Square root | 132.476413 (= 15√78) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.755 × |
17550 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand five hundred and fifty |
| Binary (base 2) | 100010010001110 |
| Octal (base 8) | 42216 |
| Hexadecimal (base 16) | 448E |
| Base 3 | 220002000 |
| As time | 17550 seconds = 4 h 52 min 30 s |
Is 17550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17550 ÷ 2 = 8775) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17550 ÷ 3 = 5850) | 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 (17550 ÷ 5 = 3510) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17550 ÷ 6 = 2925) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (17550 ÷ 9 = 1950) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17550 ÷ 10 = 1755) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 17550 a prime number?
No. 17550 = 2 × × × 13, so it is divisible by 2.
What are the factors of 17550?
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45, 50, 54, 65, 75, 78, 90, 117, 130, 135, 150, 195, 225, 234, 270, 325, 351, 390, 450, 585, 650, 675, 702, 975, 1170, 1350, 1755, 1950, 2925, 3510, 5850, 8775, 17550.
What is 17550 in binary?
100010010001110 (hexadecimal 448E, octal 42216).
What is the square root of 17550?
About 132.4764, exactly 15√78.
Is 17550 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17550?
17550 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.