The number 27987
27987 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 491. Divisors (8): 1, 3, 19, 57, 491, 1473, 9329, 27987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27987 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27987 is composite. Its prime factorisation is
- 3
The divisors add up to 39360; without 27987 itself that is 11373, so 27987 is deficient (11373 is less than 27987). Euler's totient φ(27987) = 17640 numbers up to 27987 share no factor with it.
- 4
The digits of 27987 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27987 = 3 \times 19 \times 491 \]
27987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39360 |
| Euler totient φ(n) | 17640 |
| Square | 783272169 |
| Cube | 21921438193803 |
| Square root | 167.293156 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7987 × |
27987 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and eighty-seven |
| Binary (base 2) | 110110101010011 |
| Octal (base 8) | 66523 |
| Hexadecimal (base 16) | 6D53 |
| Base 3 | 1102101120 |
| As time | 27987 seconds = 7 h 46 min 27 s |
Is 27987 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 (27987 ÷ 3 = 9329) | 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 | No (remainder 1) | 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 6) | 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 3) | 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 27987 a prime number?
No. 27987 = 3 × 19 × 491, so it is divisible by 3.
What are the factors of 27987?
1, 3, 19, 57, 491, 1473, 9329, 27987.
What is 27987 in binary?
110110101010011 (hexadecimal 6D53, octal 66523).
What is the square root of 27987?
About 167.2932.
Is 27987 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 27987?
It is a composite number with 8 divisors.