The number 27760
27760 is a composite number with 20 divisors. Its prime factorisation is × 5 × 347. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 347, 694, 1388, 1735, 2776, 3470 … 27760.
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How to work it out
- 1
27760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27760 is composite. Its prime factorisation is
- 3
The divisors add up to 64728; without 27760 itself that is 36968, so 27760 is abundant (36968 is more than 27760). Euler's totient φ(27760) = 11072 numbers up to 27760 share no factor with it.
- 4
The digits of 27760 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27760 = 2^{4} \times 5 \times 347 \]27760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 64728 |
| Euler totient φ(n) | 11072 |
| Square | 770617600 |
| Cube | 21392344576000 |
| Square root | 166.613325 (= 4√1735) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.776 × |
27760 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and sixty |
| Binary (base 2) | 110110001110000 |
| Octal (base 8) | 66160 |
| Hexadecimal (base 16) | 6C70 |
| Base 3 | 1102002011 |
| As time | 27760 seconds = 7 h 42 min 40 s |
Is 27760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27760 ÷ 2 = 13880) | 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 (27760 ÷ 4 = 6940) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27760 ÷ 5 = 5552) | 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 5) | 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 (27760 ÷ 8 = 3470) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27760 ÷ 10 = 2776) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 27760 a prime number?
No. 27760 = × 5 × 347, so it is divisible by 2.
What are the factors of 27760?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 347, 694, 1388, 1735, 2776, 3470, 5552, 6940, 13880, 27760.
What is 27760 in binary?
110110001110000 (hexadecimal 6C70, octal 66160).
What is the square root of 27760?
About 166.6133, exactly 4√1735.
Is 27760 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27760?
It is a composite number with 20 divisors.