The number 27867
27867 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1327. Divisors (8): 1, 3, 7, 21, 1327, 3981, 9289, 27867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27867 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27867 is composite. Its prime factorisation is
- 3
The divisors add up to 42496; without 27867 itself that is 14629, so 27867 is deficient (14629 is less than 27867). Euler's totient φ(27867) = 15912 numbers up to 27867 share no factor with it.
- 4
The digits of 27867 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27867 = 3 \times 7 \times 1327 \]
27867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42496 |
| Euler totient φ(n) | 15912 |
| Square | 776569689 |
| Cube | 21640667523363 |
| Square root | 166.934119 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7867 × |
27867 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and sixty-seven |
| Binary (base 2) | 110110011011011 |
| Octal (base 8) | 66333 |
| Hexadecimal (base 16) | 6CDB |
| Base 3 | 1102020010 |
| As time | 27867 seconds = 7 h 44 min 27 s |
Is 27867 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 (27867 ÷ 3 = 9289) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27867 ÷ 7 = 3981) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27867 a prime number?
No. 27867 = 3 × 7 × 1327, so it is divisible by 3.
What are the factors of 27867?
1, 3, 7, 21, 1327, 3981, 9289, 27867.
What is 27867 in binary?
110110011011011 (hexadecimal 6CDB, octal 66333).
What is the square root of 27867?
About 166.9341.
Is 27867 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 27867?
It is a composite number with 8 divisors.