The number 6890
6890 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 53. Divisors (16): 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6890 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6890 is composite. Its prime factorisation is
- 3
The divisors add up to 13608; without 6890 itself that is 6718, so 6890 is deficient (6718 is less than 6890). Euler's totient φ(6890) = 2496 numbers up to 6890 share no factor with it.
- 4
The digits of 6890 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6890 = 2 \times 5 \times 13 \times 53 \]
6890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13608 |
| Euler totient φ(n) | 2496 |
| Square | 47472100 |
| Cube | 327082769000 |
| Square root | 83.006024 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.89 × |
6890 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and ninety |
| Binary (base 2) | 1101011101010 |
| Octal (base 8) | 15352 |
| Hexadecimal (base 16) | 1AEA |
| Base 3 | 100110012 |
| As time | 6890 seconds = 1 h 54 min 50 s |
Is 6890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6890 ÷ 2 = 3445) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6890 ÷ 5 = 1378) | 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6890 ÷ 10 = 689) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6890 a prime number?
No. 6890 = 2 × 5 × 13 × 53, so it is divisible by 2.
What are the factors of 6890?
1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890.
What is 6890 in binary?
1101011101010 (hexadecimal 1AEA, octal 15352).
What is the square root of 6890?
About 83.0060.
Is 6890 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 6890?
It is a composite number with 16 divisors.