The number 6820
6820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 31. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 124, 155, 220 … 6820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6820 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 6820 itself that is 9308, so 6820 is abundant (9308 is more than 6820). Euler's totient φ(6820) = 2400 numbers up to 6820 share no factor with it.
- 4
The digits of 6820 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6820 = 2^{2} \times 5 \times 11 \times 31 \]6820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 2400 |
| Square | 46512400 |
| Cube | 317214568000 |
| Square root | 82.583291 (= 2√1705) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.82 × |
6820 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and twenty |
| Binary (base 2) | 1101010100100 |
| Octal (base 8) | 15244 |
| Hexadecimal (base 16) | 1AA4 |
| Base 3 | 100100121 |
| As time | 6820 seconds = 1 h 53 min 40 s |
Is 6820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6820 ÷ 2 = 3410) | 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 | Yes (6820 ÷ 4 = 1705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6820 ÷ 5 = 1364) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6820 ÷ 10 = 682) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6820 ÷ 11 = 620) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6820 a prime number?
No. 6820 = × 5 × 11 × 31, so it is divisible by 2.
What are the factors of 6820?
1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 124, 155, 220, 310, 341, 620, 682, 1364, 1705, 3410, 6820.
What is 6820 in binary?
1101010100100 (hexadecimal 1AA4, octal 15244).
What is the square root of 6820?
About 82.5833, exactly 2√1705.
Is 6820 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 6820?
It is a composite number with 24 divisors.