The number 726
726 is a composite number with 12 divisors. Its prime factorisation is 2 × 3 × . Divisors (12): 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
726 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
726 is composite. Its prime factorisation is
- 3
The divisors add up to 1596; without 726 itself that is 870, so 726 is abundant (870 is more than 726). Euler's totient φ(726) = 220 numbers up to 726 share no factor with it.
- 4
The digits of 726 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 726 = 2 \times 3 \times 11^{2} \]726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1596 |
| Euler totient φ(n) | 220 |
| Square | 527076 |
| Cube | 382657176 |
| Square root | 26.944387 (= 11√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 7.26 × |
726 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and twenty-six |
| Roman numerals | DCCXXVI |
| Binary (base 2) | 1011010110 |
| Octal (base 8) | 1326 |
| Hexadecimal (base 16) | 2D6 |
| Base 3 | 222220 |
| As time | 726 seconds = 12 min 6 s |
Is 726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (726 ÷ 2 = 363) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (726 ÷ 3 = 242) | 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 (726 ÷ 6 = 121) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 | Yes (726 ÷ 11 = 66) | 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 726 a prime number?
No. 726 = 2 × 3 × , so it is divisible by 2.
What are the factors of 726?
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726.
What is 726 in binary?
1011010110 (hexadecimal 2D6, octal 1326).
What is the square root of 726?
About 26.9444, exactly 11√6.
What is 726 in Roman numerals?
DCCXXVI.
Is 726 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 726?
It is a composite number with 12 divisors.