The number 6726
6726 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 59. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6726 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6726 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 6726 itself that is 7674, so 6726 is abundant (7674 is more than 6726). Euler's totient φ(6726) = 2088 numbers up to 6726 share no factor with it.
- 4
The digits of 6726 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6726 = 2 \times 3 \times 19 \times 59 \]
6726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 2088 |
| Square | 45239076 |
| Cube | 304278025176 |
| Square root | 82.012194 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.726 × |
6726 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and twenty-six |
| Binary (base 2) | 1101001000110 |
| Octal (base 8) | 15106 |
| Hexadecimal (base 16) | 1A46 |
| Base 3 | 100020010 |
| As time | 6726 seconds = 1 h 52 min 6 s |
Is 6726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6726 ÷ 2 = 3363) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6726 ÷ 3 = 2242) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6726 ÷ 6 = 1121) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6726 a prime number?
No. 6726 = 2 × 3 × 19 × 59, so it is divisible by 2.
What are the factors of 6726?
1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726.
What is 6726 in binary?
1101001000110 (hexadecimal 1A46, octal 15106).
What is the square root of 6726?
About 82.0122.
Is 6726 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6726?
It is a composite number with 16 divisors.