The number 6723
6723 is a composite number with 10 divisors. Its prime factorisation is × 83. Divisors (10): 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6723 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6723 is composite. Its prime factorisation is
- 3
The divisors add up to 10164; without 6723 itself that is 3441, so 6723 is deficient (3441 is less than 6723). Euler's totient φ(6723) = 4428 numbers up to 6723 share no factor with it.
- 4
The digits of 6723 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6723 = 3^{4} \times 83 \]6723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 10164 |
| Euler totient φ(n) | 4428 |
| Square | 45198729 |
| Cube | 303871055067 |
| Square root | 81.993902 (= 9√83) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.723 × |
6723 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and twenty-three |
| Binary (base 2) | 1101001000011 |
| Octal (base 8) | 15103 |
| Hexadecimal (base 16) | 1A43 |
| Base 3 | 100020000 |
| As time | 6723 seconds = 1 h 52 min 3 s |
Is 6723 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6723 ÷ 3 = 2241) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6723 ÷ 9 = 747) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6723 a prime number?
No. 6723 = × 83, so it is divisible by 3.
What are the factors of 6723?
1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723.
What is 6723 in binary?
1101001000011 (hexadecimal 1A43, octal 15103).
What is the square root of 6723?
About 81.9939, exactly 9√83.
Is 6723 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6723?
It is a composite number with 10 divisors.