The number 27873
27873 is a composite number with 12 divisors. Its prime factorisation is × 19 × 163. Divisors (12): 1, 3, 9, 19, 57, 163, 171, 489, 1467, 3097, 9291, 27873.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27873 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27873 is composite. Its prime factorisation is
- 3
The divisors add up to 42640; without 27873 itself that is 14767, so 27873 is deficient (14767 is less than 27873). Euler's totient φ(27873) = 17496 numbers up to 27873 share no factor with it.
- 4
The digits of 27873 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27873 = 3^{2} \times 19 \times 163 \]27873 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42640 |
| Euler totient φ(n) | 17496 |
| Square | 776904129 |
| Cube | 21654648787617 |
| Square root | 166.952089 (= 3√3097) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7873 × |
27873 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and seventy-three |
| Binary (base 2) | 110110011100001 |
| Octal (base 8) | 66341 |
| Hexadecimal (base 16) | 6CE1 |
| Base 3 | 1102020100 |
| As time | 27873 seconds = 7 h 44 min 33 s |
Is 27873 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 (27873 ÷ 3 = 9291) | 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 3) | 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 6) | 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 (27873 ÷ 9 = 3097) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 27873 a prime number?
No. 27873 = × 19 × 163, so it is divisible by 3.
What are the factors of 27873?
1, 3, 9, 19, 57, 163, 171, 489, 1467, 3097, 9291, 27873.
What is 27873 in binary?
110110011100001 (hexadecimal 6CE1, octal 66341).
What is the square root of 27873?
About 166.9521, exactly 3√3097.
Is 27873 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27873?
It is a composite number with 12 divisors.