The number 27888
27888 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 83. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 27888.
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How to work it out
- 1
27888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27888 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 27888 itself that is 55440, so 27888 is abundant (55440 is more than 27888). Euler's totient φ(27888) = 7872 numbers up to 27888 share no factor with it.
- 4
The digits of 27888 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 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27888 = 2^{4} \times 3 \times 7 \times 83 \]27888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 7872 |
| Square | 777740544 |
| Cube | 21689628291072 |
| Square root | 166.997006 (= 4√1743) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7888 × |
27888 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and eighty-eight |
| Binary (base 2) | 110110011110000 |
| Octal (base 8) | 66360 |
| Hexadecimal (base 16) | 6CF0 |
| Base 3 | 1102020220 |
| As time | 27888 seconds = 7 h 44 min 48 s |
Is 27888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27888 ÷ 2 = 13944) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27888 ÷ 3 = 9296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27888 ÷ 4 = 6972) | 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 (27888 ÷ 6 = 4648) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27888 ÷ 7 = 3984) | 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 (27888 ÷ 8 = 3486) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27888 ÷ 12 = 2324) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27888 a prime number?
No. 27888 = × 3 × 7 × 83, so it is divisible by 2.
What are the factors of 27888?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 83, 84, 112, 166, 168, 249, 332, 336, 498, 581, 664, 996, 1162, 1328, 1743, 1992, 2324, 3486, 3984, 4648, 6972, 9296, 13944, 27888.
What is 27888 in binary?
110110011110000 (hexadecimal 6CF0, octal 66360).
What is the square root of 27888?
About 166.9970, exactly 4√1743.
Is 27888 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 27888?
It is a composite number with 40 divisors.