The number 27790
27790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 397. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 397, 794, 1985, 2779, 3970, 5558, 13895, 27790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27790 is composite. Its prime factorisation is
- 3
The divisors add up to 57312; without 27790 itself that is 29522, so 27790 is abundant (29522 is more than 27790). Euler's totient φ(27790) = 9504 numbers up to 27790 share no factor with it.
- 4
The digits of 27790 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27790 = 2 \times 5 \times 7 \times 397 \]
27790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57312 |
| Euler totient φ(n) | 9504 |
| Square | 772284100 |
| Cube | 21461775139000 |
| Square root | 166.703329 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.779 × |
27790 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and ninety |
| Binary (base 2) | 110110010001110 |
| Octal (base 8) | 66216 |
| Hexadecimal (base 16) | 6C8E |
| Base 3 | 1102010021 |
| As time | 27790 seconds = 7 h 43 min 10 s |
Is 27790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27790 ÷ 2 = 13895) | 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 (27790 ÷ 5 = 5558) | 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 | Yes (27790 ÷ 7 = 3970) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27790 ÷ 10 = 2779) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 27790 a prime number?
No. 27790 = 2 × 5 × 7 × 397, so it is divisible by 2.
What are the factors of 27790?
1, 2, 5, 7, 10, 14, 35, 70, 397, 794, 1985, 2779, 3970, 5558, 13895, 27790.
What is 27790 in binary?
110110010001110 (hexadecimal 6C8E, octal 66216).
What is the square root of 27790?
About 166.7033.
Is 27790 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27790?
It is a composite number with 16 divisors.