The number 27024
27024 is a composite number with 20 divisors. Its prime factorisation is × 3 × 563. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 563, 1126, 1689, 2252, 3378, 4504 … 27024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27024 is composite. Its prime factorisation is
- 3
The divisors add up to 69936; without 27024 itself that is 42912, so 27024 is abundant (42912 is more than 27024). Euler's totient φ(27024) = 8992 numbers up to 27024 share no factor with it.
- 4
The digits of 27024 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27024 = 2^{4} \times 3 \times 563 \]27024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 69936 |
| Euler totient φ(n) | 8992 |
| Square | 730296576 |
| Cube | 19735534669824 |
| Square root | 164.389781 (= 4√1689) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7024 × |
27024 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and twenty-four |
| Binary (base 2) | 110100110010000 |
| Octal (base 8) | 64620 |
| Hexadecimal (base 16) | 6990 |
| Base 3 | 1101001220 |
| As time | 27024 seconds = 7 h 30 min 24 s |
Is 27024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27024 ÷ 2 = 13512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27024 ÷ 3 = 9008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27024 ÷ 4 = 6756) | 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 | Yes (27024 ÷ 6 = 4504) | 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 | Yes (27024 ÷ 8 = 3378) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27024 ÷ 12 = 2252) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27024 a prime number?
No. 27024 = × 3 × 563, so it is divisible by 2.
What are the factors of 27024?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 27024.
What is 27024 in binary?
110100110010000 (hexadecimal 6990, octal 64620).
What is the square root of 27024?
About 164.3898, exactly 4√1689.
Is 27024 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27024?
It is a composite number with 20 divisors.