The number 9727
9727 is a composite number with 4 divisors. Its prime factorisation is 71 × 137. Divisors (4): 1, 71, 137, 9727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9727: a semiprime: 71 × 137, the product of two primes.
- 2
9727 is composite. Its prime factorisation is
- 3
The divisors add up to 9936; without 9727 itself that is 209, so 9727 is deficient (209 is less than 9727). Euler's totient φ(9727) = 9520 numbers up to 9727 share no factor with it.
- 4
The digits of 9727 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9727 = 71 \times 137 \]
9727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9936 |
| Euler totient φ(n) | 9520 |
| Square | 94614529 |
| Cube | 920315523583 |
| Square root | 98.625554 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.727 × |
9727 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and twenty-seven |
| Binary (base 2) | 10010111111111 |
| Octal (base 8) | 22777 |
| Hexadecimal (base 16) | 25FF |
| Base 3 | 111100021 |
| As time | 9727 seconds = 2 h 42 min 7 s |
Is 9727 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9727 a prime number?
No. 9727 = 71 × 137, so it is divisible by 71.
What are the factors of 9727?
1, 71, 137, 9727.
What is 9727 in binary?
10010111111111 (hexadecimal 25FF, octal 22777).
What is the square root of 9727?
About 98.6256.
Is 9727 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9727?
9727 is a semiprime: 71 × 137, the product of two primes.