The number 27745
27745 is a composite number with 8 divisors. Its prime factorisation is 5 × 31 × 179. Divisors (8): 1, 5, 31, 155, 179, 895, 5549, 27745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27745 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 27745 itself that is 6815, so 27745 is deficient (6815 is less than 27745). Euler's totient φ(27745) = 21360 numbers up to 27745 share no factor with it.
- 4
The digits of 27745 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27745 = 5 \times 31 \times 179 \]
27745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 21360 |
| Square | 769785025 |
| Cube | 21357685518625 |
| Square root | 166.568304 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7745 × |
27745 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and forty-five |
| Binary (base 2) | 110110001100001 |
| Octal (base 8) | 66141 |
| Hexadecimal (base 16) | 6C61 |
| Base 3 | 1102001121 |
| As time | 27745 seconds = 7 h 42 min 25 s |
Is 27745 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 | No (remainder 1) | 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 | Yes (27745 ÷ 5 = 5549) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27745 a prime number?
No. 27745 = 5 × 31 × 179, so it is divisible by 5.
What are the factors of 27745?
1, 5, 31, 155, 179, 895, 5549, 27745.
What is 27745 in binary?
110110001100001 (hexadecimal 6C61, octal 66141).
What is the square root of 27745?
About 166.5683.
Is 27745 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27745?
It is a composite number with 8 divisors.