The number 27999
27999 is a composite number with 16 divisors. Its prime factorisation is × 17 × 61. Divisors (16): 1, 3, 9, 17, 27, 51, 61, 153, 183, 459, 549, 1037, 1647, 3111, 9333, 27999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27999 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27999 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 27999 itself that is 16641, so 27999 is deficient (16641 is less than 27999). Euler's totient φ(27999) = 17280 numbers up to 27999 share no factor with it.
- 4
The digits of 27999 add up to 36, 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
\[ 27999 = 3^{3} \times 17 \times 61 \]27999 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 17280 |
| Square | 783944001 |
| Cube | 21949648083999 |
| Square root | 167.329017 (= 3√3111) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7999 × |
27999 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and ninety-nine |
| Binary (base 2) | 110110101011111 |
| Octal (base 8) | 66537 |
| Hexadecimal (base 16) | 6D5F |
| Base 3 | 1102102000 |
| As time | 27999 seconds = 7 h 46 min 39 s |
Is 27999 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 (27999 ÷ 3 = 9333) | 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 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27999 ÷ 9 = 3111) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 27999 a prime number?
No. 27999 = × 17 × 61, so it is divisible by 3.
What are the factors of 27999?
1, 3, 9, 17, 27, 51, 61, 153, 183, 459, 549, 1037, 1647, 3111, 9333, 27999.
What is 27999 in binary?
110110101011111 (hexadecimal 6D5F, octal 66537).
What is the square root of 27999?
About 167.3290, exactly 3√3111.
Is 27999 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 27999?
It is a composite number with 16 divisors.