The number 27168
27168 is a composite number with 24 divisors. Its prime factorisation is × 3 × 283. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 283, 566, 849, 1132 … 27168.
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How to work it out
- 1
What is special about 27168: a Harshad number: divisible by its digit sum 24.
- 2
27168 is composite. Its prime factorisation is
- 3
The divisors add up to 71568; without 27168 itself that is 44400, so 27168 is abundant (44400 is more than 27168). Euler's totient φ(27168) = 9024 numbers up to 27168 share no factor with it.
- 4
The digits of 27168 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27168 = 2^{5} \times 3 \times 283 \]27168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 71568 |
| Euler totient φ(n) | 9024 |
| Square | 738100224 |
| Cube | 20052706885632 |
| Square root | 164.827182 (= 4√1698) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7168 × |
27168 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and sixty-eight |
| Binary (base 2) | 110101000100000 |
| Octal (base 8) | 65040 |
| Hexadecimal (base 16) | 6A20 |
| Base 3 | 1101021020 |
| As time | 27168 seconds = 7 h 32 min 48 s |
Is 27168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27168 ÷ 2 = 13584) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27168 ÷ 3 = 9056) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27168 ÷ 4 = 6792) | 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 | Yes (27168 ÷ 6 = 4528) | 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 | Yes (27168 ÷ 8 = 3396) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27168 ÷ 12 = 2264) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27168 a prime number?
No. 27168 = × 3 × 283, so it is divisible by 2.
What are the factors of 27168?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 283, 566, 849, 1132, 1698, 2264, 3396, 4528, 6792, 9056, 13584, 27168.
What is 27168 in binary?
110101000100000 (hexadecimal 6A20, octal 65040).
What is the square root of 27168?
About 164.8272, exactly 4√1698.
Is 27168 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27168?
27168 is a Harshad number: divisible by its digit sum 24.