The number 9408
9408 is a composite number with 42 divisors. Its prime factorisation is × 3 × . Divisors (42): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 9408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9408: a Harshad number: divisible by its digit sum 21.
- 2
9408 is composite. Its prime factorisation is
- 3
The divisors add up to 28956; without 9408 itself that is 19548, so 9408 is abundant (19548 is more than 9408). Euler's totient φ(9408) = 2688 numbers up to 9408 share no factor with it.
- 4
The digits of 9408 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9408 = 2^{6} \times 3 \times 7^{2} \]9408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 28956 |
| Euler totient φ(n) | 2688 |
| Square | 88510464 |
| Cube | 832706445312 |
| Square root | 96.994845 (= 56√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.408 × |
9408 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and eight |
| Binary (base 2) | 10010011000000 |
| Octal (base 8) | 22300 |
| Hexadecimal (base 16) | 24C0 |
| Base 3 | 110220110 |
| As time | 9408 seconds = 2 h 36 min 48 s |
Is 9408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9408 ÷ 2 = 4704) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9408 ÷ 3 = 3136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9408 ÷ 4 = 2352) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9408 ÷ 6 = 1568) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9408 ÷ 7 = 1344) | 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 (9408 ÷ 8 = 1176) | 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 8) | 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 (9408 ÷ 12 = 784) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9408 a prime number?
No. 9408 = × 3 × , so it is divisible by 2.
What are the factors of 9408?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408.
What is 9408 in binary?
10010011000000 (hexadecimal 24C0, octal 22300).
What is the square root of 9408?
About 96.9948, exactly 56√3.
Is 9408 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9408?
9408 is a Harshad number: divisible by its digit sum 21.