The number 27864
27864 is a composite number with 40 divisors. Its prime factorisation is × × 43. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 81 … 27864.
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How to work it out
- 1
What is special about 27864: a Harshad number: divisible by its digit sum 27.
- 2
27864 is composite. Its prime factorisation is
- 3
The divisors add up to 79860; without 27864 itself that is 51996, so 27864 is abundant (51996 is more than 27864). Euler's totient φ(27864) = 9072 numbers up to 27864 share no factor with it.
- 4
The digits of 27864 add up to 27, 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
\[ 27864 = 2^{3} \times 3^{4} \times 43 \]27864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 79860 |
| Euler totient φ(n) | 9072 |
| Square | 776402496 |
| Cube | 21633679148544 |
| Square root | 166.925133 (= 18√86) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7864 × |
27864 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and sixty-four |
| Binary (base 2) | 110110011011000 |
| Octal (base 8) | 66330 |
| Hexadecimal (base 16) | 6CD8 |
| Base 3 | 1102020000 |
| As time | 27864 seconds = 7 h 44 min 24 s |
Is 27864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27864 ÷ 2 = 13932) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27864 ÷ 3 = 9288) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27864 ÷ 4 = 6966) | 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 (27864 ÷ 6 = 4644) | 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 (27864 ÷ 8 = 3483) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27864 ÷ 9 = 3096) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27864 ÷ 12 = 2322) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27864 a prime number?
No. 27864 = × × 43, so it is divisible by 2.
What are the factors of 27864?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 81, 86, 108, 129, 162, 172, 216, 258, 324, 344, 387, 516, 648, 774, 1032, 1161, 1548, 2322, 3096, 3483, 4644, 6966, 9288, 13932, 27864.
What is 27864 in binary?
110110011011000 (hexadecimal 6CD8, octal 66330).
What is the square root of 27864?
About 166.9251, exactly 18√86.
Is 27864 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27864?
27864 is a Harshad number: divisible by its digit sum 27.