The number 6724
6724 is a perfect square (82²). Its prime factorisation is × . Divisors (9): 1, 2, 4, 41, 82, 164, 1681, 3362, 6724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6724: a perfect square (82²).
- 2
6724 is composite. Its prime factorisation is
- 3
The divisors add up to 12061; without 6724 itself that is 5337, so 6724 is deficient (5337 is less than 6724). Euler's totient φ(6724) = 3280 numbers up to 6724 share no factor with it.
- 4
The digits of 6724 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6724 = 2^{2} \times 41^{2} \]6724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 12061 |
| Euler totient φ(n) | 3280 |
| Square | 45212176 |
| Cube | 304006671424 |
| Square root | 82 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.724 × |
| Perfect power |
6724 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and twenty-four |
| Binary (base 2) | 1101001000100 |
| Octal (base 8) | 15104 |
| Hexadecimal (base 16) | 1A44 |
| Base 3 | 100020001 |
| As time | 6724 seconds = 1 h 52 min 4 s |
Is 6724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6724 ÷ 2 = 3362) | 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 (6724 ÷ 4 = 1681) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6724 a prime number?
No. 6724 = × , so it is divisible by 2.
What are the factors of 6724?
1, 2, 4, 41, 82, 164, 1681, 3362, 6724.
What is 6724 in binary?
1101001000100 (hexadecimal 1A44, octal 15104).
What is the square root of 6724?
82, because 82 × 82 = 6724.
Is 6724 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 6724?
6724 is a perfect square (82²).