The number 550
550 is a composite number with 12 divisors. Its prime factorisation is 2 × × 11. Divisors (12): 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 550: a Harshad number: divisible by its digit sum 10.
- 2
550 is composite. Its prime factorisation is
- 3
The divisors add up to 1116; without 550 itself that is 566, so 550 is abundant (566 is more than 550). Euler's totient φ(550) = 200 numbers up to 550 share no factor with it.
- 4
The digits of 550 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 550 = 2 \times 5^{2} \times 11 \]550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1116 |
| Euler totient φ(n) | 200 |
| Square | 302500 |
| Cube | 166375000 |
| Square root | 23.452079 (= 5√22) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 92 |
| Scientific notation | 5.5 × |
550 in other forms
| Form | Value |
|---|---|
| In words | five hundred and fifty |
| Roman numerals | DL |
| Binary (base 2) | 1000100110 |
| Octal (base 8) | 1046 |
| Hexadecimal (base 16) | 226 |
| Base 3 | 202101 |
| As time | 550 seconds = 9 min 10 s |
Is 550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (550 ÷ 2 = 275) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (550 ÷ 5 = 110) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (550 ÷ 10 = 55) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (550 ÷ 11 = 50) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 550 a prime number?
No. 550 = 2 × × 11, so it is divisible by 2.
What are the factors of 550?
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.
What is 550 in binary?
1000100110 (hexadecimal 226, octal 1046).
What is the square root of 550?
About 23.4521, exactly 5√22.
What is 550 in Roman numerals?
DL.
Is 550 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 550?
550 is a Harshad number: divisible by its digit sum 10.