The number 27880
27880 is a composite number with 32 divisors. Its prime factorisation is × 5 × 17 × 41. Divisors (32): 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 41, 68, 82, 85, 136, 164 … 27880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27880 is composite. Its prime factorisation is
- 3
The divisors add up to 68040; without 27880 itself that is 40160, so 27880 is abundant (40160 is more than 27880). Euler's totient φ(27880) = 10240 numbers up to 27880 share no factor with it.
- 4
The digits of 27880 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27880 = 2^{3} \times 5 \times 17 \times 41 \]27880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 68040 |
| Euler totient φ(n) | 10240 |
| Square | 777294400 |
| Cube | 21670967872000 |
| Square root | 166.973052 (= 2√6970) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.788 × |
27880 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and eighty |
| Binary (base 2) | 110110011101000 |
| Octal (base 8) | 66350 |
| Hexadecimal (base 16) | 6CE8 |
| Base 3 | 1102020121 |
| As time | 27880 seconds = 7 h 44 min 40 s |
Is 27880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27880 ÷ 2 = 13940) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27880 ÷ 4 = 6970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27880 ÷ 5 = 5576) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (27880 ÷ 8 = 3485) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27880 ÷ 10 = 2788) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27880 a prime number?
No. 27880 = × 5 × 17 × 41, so it is divisible by 2.
What are the factors of 27880?
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 41, 68, 82, 85, 136, 164, 170, 205, 328, 340, 410, 680, 697, 820, 1394, 1640, 2788, 3485, 5576, 6970, 13940, 27880.
What is 27880 in binary?
110110011101000 (hexadecimal 6CE8, octal 66350).
What is the square root of 27880?
About 166.9731, exactly 2√6970.
Is 27880 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27880?
It is a composite number with 32 divisors.