The number 6880
6880 is a composite number with 24 divisors. Its prime factorisation is × 5 × 43. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215 … 6880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6880 is composite. Its prime factorisation is
- 3
The divisors add up to 16632; without 6880 itself that is 9752, so 6880 is abundant (9752 is more than 6880). Euler's totient φ(6880) = 2688 numbers up to 6880 share no factor with it.
- 4
The digits of 6880 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6880 = 2^{5} \times 5 \times 43 \]6880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 16632 |
| Euler totient φ(n) | 2688 |
| Square | 47334400 |
| Cube | 325660672000 |
| Square root | 82.945765 (= 4√430) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.88 × |
6880 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and eighty |
| Binary (base 2) | 1101011100000 |
| Octal (base 8) | 15340 |
| Hexadecimal (base 16) | 1AE0 |
| Base 3 | 100102211 |
| As time | 6880 seconds = 1 h 54 min 40 s |
Is 6880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6880 ÷ 2 = 3440) | 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 (6880 ÷ 4 = 1720) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6880 ÷ 5 = 1376) | 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 (6880 ÷ 8 = 860) | 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 (6880 ÷ 10 = 688) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 6880 a prime number?
No. 6880 = × 5 × 43, so it is divisible by 2.
What are the factors of 6880?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880.
What is 6880 in binary?
1101011100000 (hexadecimal 1AE0, octal 15340).
What is the square root of 6880?
About 82.9458, exactly 4√430.
Is 6880 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6880?
It is a composite number with 24 divisors.