The number 27801
27801 is a composite number with 6 divisors. Its prime factorisation is × 3089. Divisors (6): 1, 3, 9, 3089, 9267, 27801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27801 is composite. Its prime factorisation is
- 3
The divisors add up to 40170; without 27801 itself that is 12369, so 27801 is deficient (12369 is less than 27801). Euler's totient φ(27801) = 18528 numbers up to 27801 share no factor with it.
- 4
The digits of 27801 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27801 = 3^{2} \times 3089 \]27801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 40170 |
| Euler totient φ(n) | 18528 |
| Square | 772895601 |
| Cube | 21487270603401 |
| Square root | 166.736319 (= 3√3089) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7801 × |
27801 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and one |
| Binary (base 2) | 110110010011001 |
| Octal (base 8) | 66231 |
| Hexadecimal (base 16) | 6C99 |
| Base 3 | 1102010200 |
| As time | 27801 seconds = 7 h 43 min 21 s |
Is 27801 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 | Yes (27801 ÷ 3 = 9267) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | Yes (27801 ÷ 9 = 3089) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27801 a prime number?
No. 27801 = × 3089, so it is divisible by 3.
What are the factors of 27801?
1, 3, 9, 3089, 9267, 27801.
What is 27801 in binary?
110110010011001 (hexadecimal 6C99, octal 66231).
What is the square root of 27801?
About 166.7363, exactly 3√3089.
Is 27801 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27801?
It is a composite number with 6 divisors.