The number 9936
9936 is a composite number with 40 divisors. Its prime factorisation is × × 23. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48 … 9936.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9936: a Harshad number: divisible by its digit sum 27.
- 2
9936 is composite. Its prime factorisation is
- 3
The divisors add up to 29760; without 9936 itself that is 19824, so 9936 is abundant (19824 is more than 9936). Euler's totient φ(9936) = 3168 numbers up to 9936 share no factor with it.
- 4
The digits of 9936 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9936 = 2^{4} \times 3^{3} \times 23 \]9936 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 29760 |
| Euler totient φ(n) | 3168 |
| Square | 98724096 |
| Cube | 980922617856 |
| Square root | 99.679486 (= 12√69) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.936 × |
9936 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and thirty-six |
| Binary (base 2) | 10011011010000 |
| Octal (base 8) | 23320 |
| Hexadecimal (base 16) | 26D0 |
| Base 3 | 111122000 |
| As time | 9936 seconds = 2 h 45 min 36 s |
Is 9936 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9936 ÷ 2 = 4968) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9936 ÷ 3 = 3312) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9936 ÷ 4 = 2484) | 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 (9936 ÷ 6 = 1656) | 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 | Yes (9936 ÷ 8 = 1242) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9936 ÷ 9 = 1104) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9936 ÷ 12 = 828) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9936 a prime number?
No. 9936 = × × 23, so it is divisible by 2.
What are the factors of 9936?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936.
What is 9936 in binary?
10011011010000 (hexadecimal 26D0, octal 23320).
What is the square root of 9936?
About 99.6795, exactly 12√69.
Is 9936 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9936?
9936 is a Harshad number: divisible by its digit sum 27.