The number 9732
9732 is a composite number with 12 divisors. Its prime factorisation is × 3 × 811. Divisors (12): 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9732 is composite. Its prime factorisation is
- 3
The divisors add up to 22736; without 9732 itself that is 13004, so 9732 is abundant (13004 is more than 9732). Euler's totient φ(9732) = 3240 numbers up to 9732 share no factor with it.
- 4
The digits of 9732 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9732 = 2^{2} \times 3 \times 811 \]9732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22736 |
| Euler totient φ(n) | 3240 |
| Square | 94711824 |
| Cube | 921735471168 |
| Square root | 98.650900 (= 2√2433) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.732 × |
9732 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and thirty-two |
| Binary (base 2) | 10011000000100 |
| Octal (base 8) | 23004 |
| Hexadecimal (base 16) | 2604 |
| Base 3 | 111100110 |
| As time | 9732 seconds = 2 h 42 min 12 s |
Is 9732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9732 ÷ 2 = 4866) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9732 ÷ 3 = 3244) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9732 ÷ 4 = 2433) | 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 | Yes (9732 ÷ 6 = 1622) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9732 ÷ 12 = 811) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9732 a prime number?
No. 9732 = × 3 × 811, so it is divisible by 2.
What are the factors of 9732?
1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732.
What is 9732 in binary?
10011000000100 (hexadecimal 2604, octal 23004).
What is the square root of 9732?
About 98.6509, exactly 2√2433.
Is 9732 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9732?
It is a composite number with 12 divisors.