The number 6888
6888 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 41. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82 … 6888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6888 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 6888 itself that is 13272, so 6888 is abundant (13272 is more than 6888). Euler's totient φ(6888) = 1920 numbers up to 6888 share no factor with it.
- 4
The digits of 6888 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6888 = 2^{3} \times 3 \times 7 \times 41 \]6888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 1920 |
| Square | 47444544 |
| Cube | 326798019072 |
| Square root | 82.993976 (= 2√1722) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.888 × |
6888 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and eighty-eight |
| Binary (base 2) | 1101011101000 |
| Octal (base 8) | 15350 |
| Hexadecimal (base 16) | 1AE8 |
| Base 3 | 100110010 |
| As time | 6888 seconds = 1 h 54 min 48 s |
Is 6888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6888 ÷ 2 = 3444) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6888 ÷ 3 = 2296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6888 ÷ 4 = 1722) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6888 ÷ 6 = 1148) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6888 ÷ 7 = 984) | 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 (6888 ÷ 8 = 861) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6888 ÷ 12 = 574) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6888 a prime number?
No. 6888 = × 3 × 7 × 41, so it is divisible by 2.
What are the factors of 6888?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888.
What is 6888 in binary?
1101011101000 (hexadecimal 1AE8, octal 15350).
What is the square root of 6888?
About 82.9940, exactly 2√1722.
Is 6888 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 6888?
It is a composite number with 32 divisors.