The number 6810
6810 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 227. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6810: a Harshad number: divisible by its digit sum 15.
- 2
6810 is composite. Its prime factorisation is
- 3
The divisors add up to 16416; without 6810 itself that is 9606, so 6810 is abundant (9606 is more than 6810). Euler's totient φ(6810) = 1808 numbers up to 6810 share no factor with it.
- 4
The digits of 6810 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6810 = 2 \times 3 \times 5 \times 227 \]
6810 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16416 |
| Euler totient φ(n) | 1808 |
| Square | 46376100 |
| Cube | 315821241000 |
| Square root | 82.522724 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.81 × |
6810 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and ten |
| Binary (base 2) | 1101010011010 |
| Octal (base 8) | 15232 |
| Hexadecimal (base 16) | 1A9A |
| Base 3 | 100100020 |
| As time | 6810 seconds = 1 h 53 min 30 s |
Is 6810 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6810 ÷ 2 = 3405) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6810 ÷ 3 = 2270) | 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 (6810 ÷ 5 = 1362) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6810 ÷ 6 = 1135) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6810 ÷ 10 = 681) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6810 a prime number?
No. 6810 = 2 × 3 × 5 × 227, so it is divisible by 2.
What are the factors of 6810?
1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810.
What is 6810 in binary?
1101010011010 (hexadecimal 1A9A, octal 15232).
What is the square root of 6810?
About 82.5227.
Is 6810 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 6810?
6810 is a Harshad number: divisible by its digit sum 15.