The number 9736
9736 is a composite number with 8 divisors. Its prime factorisation is × 1217. Divisors (8): 1, 2, 4, 8, 1217, 2434, 4868, 9736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9736 is composite. Its prime factorisation is
- 3
The divisors add up to 18270; without 9736 itself that is 8534, so 9736 is deficient (8534 is less than 9736). Euler's totient φ(9736) = 4864 numbers up to 9736 share no factor with it.
- 4
The digits of 9736 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9736 = 2^{3} \times 1217 \]9736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18270 |
| Euler totient φ(n) | 4864 |
| Square | 94789696 |
| Cube | 922872480256 |
| Square root | 98.671171 (= 2√2434) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.736 × |
9736 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and thirty-six |
| Binary (base 2) | 10011000001000 |
| Octal (base 8) | 23010 |
| Hexadecimal (base 16) | 2608 |
| Base 3 | 111100121 |
| As time | 9736 seconds = 2 h 42 min 16 s |
Is 9736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9736 ÷ 2 = 4868) | 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 | Yes (9736 ÷ 4 = 2434) | 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 | No (remainder 4) | 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 | Yes (9736 ÷ 8 = 1217) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9736 a prime number?
No. 9736 = × 1217, so it is divisible by 2.
What are the factors of 9736?
1, 2, 4, 8, 1217, 2434, 4868, 9736.
What is 9736 in binary?
10011000001000 (hexadecimal 2608, octal 23010).
What is the square root of 9736?
About 98.6712, exactly 2√2434.
Is 9736 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9736?
It is a composite number with 8 divisors.