The number 9396
9396 is a composite number with 30 divisors. Its prime factorisation is × × 29. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108 … 9396.
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How to work it out
- 1
What is special about 9396: a Harshad number: divisible by its digit sum 27.
- 2
9396 is composite. Its prime factorisation is
- 3
The divisors add up to 25410; without 9396 itself that is 16014, so 9396 is abundant (16014 is more than 9396). Euler's totient φ(9396) = 3024 numbers up to 9396 share no factor with it.
- 4
The digits of 9396 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
\[ 9396 = 2^{2} \times 3^{4} \times 29 \]9396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 25410 |
| Euler totient φ(n) | 3024 |
| Square | 88284816 |
| Cube | 829524131136 |
| Square root | 96.932967 (= 18√29) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.396 × |
9396 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and ninety-six |
| Binary (base 2) | 10010010110100 |
| Octal (base 8) | 22264 |
| Hexadecimal (base 16) | 24B4 |
| Base 3 | 110220000 |
| As time | 9396 seconds = 2 h 36 min 36 s |
Is 9396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9396 ÷ 2 = 4698) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9396 ÷ 3 = 3132) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9396 ÷ 4 = 2349) | 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 (9396 ÷ 6 = 1566) | 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 | Yes (9396 ÷ 9 = 1044) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9396 ÷ 12 = 783) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9396 a prime number?
No. 9396 = × × 29, so it is divisible by 2.
What are the factors of 9396?
1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698, 9396.
What is 9396 in binary?
10010010110100 (hexadecimal 24B4, octal 22264).
What is the square root of 9396?
About 96.9330, exactly 18√29.
Is 9396 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9396?
9396 is a Harshad number: divisible by its digit sum 27.