The number 27080
27080 is a composite number with 16 divisors. Its prime factorisation is × 5 × 677. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 677, 1354, 2708, 3385, 5416, 6770, 13540, 27080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27080 is composite. Its prime factorisation is
- 3
The divisors add up to 61020; without 27080 itself that is 33940, so 27080 is abundant (33940 is more than 27080). Euler's totient φ(27080) = 10816 numbers up to 27080 share no factor with it.
- 4
The digits of 27080 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27080 = 2^{3} \times 5 \times 677 \]27080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61020 |
| Euler totient φ(n) | 10816 |
| Square | 733326400 |
| Cube | 19858478912000 |
| Square root | 164.560019 (= 2√6770) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.708 × |
27080 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and eighty |
| Binary (base 2) | 110100111001000 |
| Octal (base 8) | 64710 |
| Hexadecimal (base 16) | 69C8 |
| Base 3 | 1101010222 |
| As time | 27080 seconds = 7 h 31 min 20 s |
Is 27080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27080 ÷ 2 = 13540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27080 ÷ 4 = 6770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27080 ÷ 5 = 5416) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (27080 ÷ 8 = 3385) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27080 ÷ 10 = 2708) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27080 a prime number?
No. 27080 = × 5 × 677, so it is divisible by 2.
What are the factors of 27080?
1, 2, 4, 5, 8, 10, 20, 40, 677, 1354, 2708, 3385, 5416, 6770, 13540, 27080.
What is 27080 in binary?
110100111001000 (hexadecimal 69C8, octal 64710).
What is the square root of 27080?
About 164.5600, exactly 2√6770.
Is 27080 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27080?
It is a composite number with 16 divisors.