The number 27550
27550 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 29. Divisors (24): 1, 2, 5, 10, 19, 25, 29, 38, 50, 58, 95, 145, 190, 290, 475, 551 … 27550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27550: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
27550 is composite. Its prime factorisation is
- 3
The divisors add up to 55800; without 27550 itself that is 28250, so 27550 is abundant (28250 is more than 27550). Euler's totient φ(27550) = 10080 numbers up to 27550 share no factor with it.
- 4
The digits of 27550 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27550 = 2 \times 5^{2} \times 19 \times 29 \]27550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 55800 |
| Euler totient φ(n) | 10080 |
| Square | 759002500 |
| Cube | 20910518875000 |
| Square root | 165.981927 (= 5√1102) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 170 |
| Scientific notation | 2.755 × |
27550 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand five hundred and fifty |
| Binary (base 2) | 110101110011110 |
| Octal (base 8) | 65636 |
| Hexadecimal (base 16) | 6B9E |
| Base 3 | 1101210101 |
| As time | 27550 seconds = 7 h 39 min 10 s |
Is 27550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27550 ÷ 2 = 13775) | 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 (27550 ÷ 5 = 5510) | 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 5) | 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 (27550 ÷ 10 = 2755) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 27550 a prime number?
No. 27550 = 2 × × 19 × 29, so it is divisible by 2.
What are the factors of 27550?
1, 2, 5, 10, 19, 25, 29, 38, 50, 58, 95, 145, 190, 290, 475, 551, 725, 950, 1102, 1450, 2755, 5510, 13775, 27550.
What is 27550 in binary?
110101110011110 (hexadecimal 6B9E, octal 65636).
What is the square root of 27550?
About 165.9819, exactly 5√1102.
Is 27550 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27550?
27550 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.