The number 6889
6889 is a perfect square (83²). Its prime factorisation is . Divisors (3): 1, 83, 6889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6889: a perfect square (83²); the square of a prime (83²).
- 2
6889 is composite. Its prime factorisation is
- 3
The divisors add up to 6973; without 6889 itself that is 84, so 6889 is deficient (84 is less than 6889). Euler's totient φ(6889) = 6806 numbers up to 6889 share no factor with it.
- 4
The digits of 6889 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6889 = 83^{2} \]6889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 6973 |
| Euler totient φ(n) | 6806 |
| Square | 47458321 |
| Cube | 326940373369 |
| Square root | 83 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.889 × |
| Perfect power |
6889 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and eighty-nine |
| Binary (base 2) | 1101011101001 |
| Octal (base 8) | 15351 |
| Hexadecimal (base 16) | 1AE9 |
| Base 3 | 100110011 |
| As time | 6889 seconds = 1 h 54 min 49 s |
Is 6889 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6889 a prime number?
No. 6889 = , so it is divisible by 83.
What are the factors of 6889?
1, 83, 6889.
What is 6889 in binary?
1101011101001 (hexadecimal 1AE9, octal 15351).
What is the square root of 6889?
83, because 83 × 83 = 6889.
Is 6889 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 6889?
6889 is a perfect square (83²); the square of a prime (83²).