The number 27797
27797 is a composite number with 12 divisors. Its prime factorisation is 7 × 11 × . Divisors (12): 1, 7, 11, 19, 77, 133, 209, 361, 1463, 2527, 3971, 27797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27797 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27797 is composite. Its prime factorisation is
- 3
The divisors add up to 36576; without 27797 itself that is 8779, so 27797 is deficient (8779 is less than 27797). Euler's totient φ(27797) = 20520 numbers up to 27797 share no factor with it.
- 4
The digits of 27797 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27797 = 7 \times 11 \times 19^{2} \]27797 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36576 |
| Euler totient φ(n) | 20520 |
| Square | 772673209 |
| Cube | 21477997190573 |
| Square root | 166.724323 (= 19√77) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7797 × |
27797 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and ninety-seven |
| Binary (base 2) | 110110010010101 |
| Octal (base 8) | 66225 |
| Hexadecimal (base 16) | 6C95 |
| Base 3 | 1102010112 |
| As time | 27797 seconds = 7 h 43 min 17 s |
Is 27797 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 2) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27797 ÷ 7 = 3971) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27797 ÷ 11 = 2527) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27797 a prime number?
No. 27797 = 7 × 11 × , so it is divisible by 7.
What are the factors of 27797?
1, 7, 11, 19, 77, 133, 209, 361, 1463, 2527, 3971, 27797.
What is 27797 in binary?
110110010010101 (hexadecimal 6C95, octal 66225).
What is the square root of 27797?
About 166.7243, exactly 19√77.
Is 27797 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 27797?
It is a composite number with 12 divisors.