The number 6730
6730 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 673. Divisors (8): 1, 2, 5, 10, 673, 1346, 3365, 6730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6730: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6730 is composite. Its prime factorisation is
- 3
The divisors add up to 12132; without 6730 itself that is 5402, so 6730 is deficient (5402 is less than 6730). Euler's totient φ(6730) = 2688 numbers up to 6730 share no factor with it.
- 4
The digits of 6730 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6730 = 2 \times 5 \times 673 \]
6730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12132 |
| Euler totient φ(n) | 2688 |
| Square | 45292900 |
| Cube | 304821217000 |
| Square root | 82.036577 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.73 × |
6730 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and thirty |
| Binary (base 2) | 1101001001010 |
| Octal (base 8) | 15112 |
| Hexadecimal (base 16) | 1A4A |
| Base 3 | 100020021 |
| As time | 6730 seconds = 1 h 52 min 10 s |
Is 6730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6730 ÷ 2 = 3365) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6730 ÷ 5 = 1346) | 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 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6730 ÷ 10 = 673) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6730 a prime number?
No. 6730 = 2 × 5 × 673, so it is divisible by 2.
What are the factors of 6730?
1, 2, 5, 10, 673, 1346, 3365, 6730.
What is 6730 in binary?
1101001001010 (hexadecimal 1A4A, octal 15112).
What is the square root of 6730?
About 82.0366.
Is 6730 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 6730?
6730 is a happy number: repeatedly adding the squares of its digits reaches 1.