The number 9726
9726 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1621. Divisors (8): 1, 2, 3, 6, 1621, 3242, 4863, 9726.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9726 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9726 is composite. Its prime factorisation is
- 3
The divisors add up to 19464; without 9726 itself that is 9738, so 9726 is abundant (9738 is more than 9726). Euler's totient φ(9726) = 3240 numbers up to 9726 share no factor with it.
- 4
The digits of 9726 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9726 = 2 \times 3 \times 1621 \]
9726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19464 |
| Euler totient φ(n) | 3240 |
| Square | 94595076 |
| Cube | 920031709176 |
| Square root | 98.620485 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.726 × |
9726 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and twenty-six |
| Binary (base 2) | 10010111111110 |
| Octal (base 8) | 22776 |
| Hexadecimal (base 16) | 25FE |
| Base 3 | 111100020 |
| As time | 9726 seconds = 2 h 42 min 6 s |
Is 9726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9726 ÷ 2 = 4863) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9726 ÷ 3 = 3242) | 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 (9726 ÷ 6 = 1621) | 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 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 | No (remainder 2) | 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 9726 a prime number?
No. 9726 = 2 × 3 × 1621, so it is divisible by 2.
What are the factors of 9726?
1, 2, 3, 6, 1621, 3242, 4863, 9726.
What is 9726 in binary?
10010111111110 (hexadecimal 25FE, octal 22776).
What is the square root of 9726?
About 98.6205.
Is 9726 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9726?
It is a composite number with 8 divisors.