The number 9747
9747 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9747: a Harshad number: divisible by its digit sum 27.
- 2
9747 is composite. Its prime factorisation is
- 3
The divisors add up to 15240; without 9747 itself that is 5493, so 9747 is deficient (5493 is less than 9747). Euler's totient φ(9747) = 6156 numbers up to 9747 share no factor with it.
- 4
The digits of 9747 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9747 = 3^{3} \times 19^{2} \]9747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15240 |
| Euler totient φ(n) | 6156 |
| Square | 95004009 |
| Cube | 926004075723 |
| Square root | 98.726896 (= 57√3) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.747 × |
9747 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and forty-seven |
| Binary (base 2) | 10011000010011 |
| Octal (base 8) | 23023 |
| Hexadecimal (base 16) | 2613 |
| Base 3 | 111101000 |
| As time | 9747 seconds = 2 h 42 min 27 s |
Is 9747 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 | Yes (9747 ÷ 3 = 3249) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9747 ÷ 9 = 1083) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9747 a prime number?
No. 9747 = × , so it is divisible by 3.
What are the factors of 9747?
1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747.
What is 9747 in binary?
10011000010011 (hexadecimal 2613, octal 23023).
What is the square root of 9747?
About 98.7269, exactly 57√3.
Is 9747 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9747?
9747 is a Harshad number: divisible by its digit sum 27.