The number 6680
6680 is a composite number with 16 divisors. Its prime factorisation is × 5 × 167. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6680: a Harshad number: divisible by its digit sum 20.
- 2
6680 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 6680 itself that is 8440, so 6680 is abundant (8440 is more than 6680). Euler's totient φ(6680) = 2656 numbers up to 6680 share no factor with it.
- 4
The digits of 6680 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6680 = 2^{3} \times 5 \times 167 \]6680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 2656 |
| Square | 44622400 |
| Cube | 298077632000 |
| Square root | 81.731267 (= 2√1670) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.68 × |
6680 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and eighty |
| Binary (base 2) | 1101000011000 |
| Octal (base 8) | 15030 |
| Hexadecimal (base 16) | 1A18 |
| Base 3 | 100011102 |
| As time | 6680 seconds = 1 h 51 min 20 s |
Is 6680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6680 ÷ 2 = 3340) | 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 | Yes (6680 ÷ 4 = 1670) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6680 ÷ 5 = 1336) | 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 | Yes (6680 ÷ 8 = 835) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6680 ÷ 10 = 668) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6680 a prime number?
No. 6680 = × 5 × 167, so it is divisible by 2.
What are the factors of 6680?
1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680.
What is 6680 in binary?
1101000011000 (hexadecimal 1A18, octal 15030).
What is the square root of 6680?
About 81.7313, exactly 2√1670.
Is 6680 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 6680?
6680 is a Harshad number: divisible by its digit sum 20.