The number 6875
6875 is a composite number with 10 divisors. Its prime factorisation is × 11. Divisors (10): 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6875 is composite. Its prime factorisation is
- 3
The divisors add up to 9372; without 6875 itself that is 2497, so 6875 is deficient (2497 is less than 6875). Euler's totient φ(6875) = 5000 numbers up to 6875 share no factor with it.
- 4
The digits of 6875 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6875 = 5^{4} \times 11 \]6875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 9372 |
| Euler totient φ(n) | 5000 |
| Square | 47265625 |
| Cube | 324951171875 |
| Square root | 82.915620 (= 25√11) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.875 × |
6875 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and seventy-five |
| Binary (base 2) | 1101011011011 |
| Octal (base 8) | 15333 |
| Hexadecimal (base 16) | 1ADB |
| Base 3 | 100102122 |
| As time | 6875 seconds = 1 h 54 min 35 s |
Is 6875 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6875 ÷ 5 = 1375) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 3) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6875 ÷ 11 = 625) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6875 a prime number?
No. 6875 = × 11, so it is divisible by 5.
What are the factors of 6875?
1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875.
What is 6875 in binary?
1101011011011 (hexadecimal 1ADB, octal 15333).
What is the square root of 6875?
About 82.9156, exactly 25√11.
Is 6875 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 6875?
It is a composite number with 10 divisors.