The number 9438
9438 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 13. Divisors (24): 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286 … 9438.
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How to work it out
- 1
9438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9438 is composite. Its prime factorisation is
- 3
The divisors add up to 22344; without 9438 itself that is 12906, so 9438 is abundant (12906 is more than 9438). Euler's totient φ(9438) = 2640 numbers up to 9438 share no factor with it.
- 4
The digits of 9438 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9438 = 2 \times 3 \times 11^{2} \times 13 \]9438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22344 |
| Euler totient φ(n) | 2640 |
| Square | 89075844 |
| Cube | 840697815672 |
| Square root | 97.149370 (= 11√78) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.438 × |
9438 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and thirty-eight |
| Binary (base 2) | 10010011011110 |
| Octal (base 8) | 22336 |
| Hexadecimal (base 16) | 24DE |
| Base 3 | 110221120 |
| As time | 9438 seconds = 2 h 37 min 18 s |
Is 9438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9438 ÷ 2 = 4719) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9438 ÷ 3 = 3146) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (9438 ÷ 6 = 1573) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (9438 ÷ 11 = 858) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9438 a prime number?
No. 9438 = 2 × 3 × × 13, so it is divisible by 2.
What are the factors of 9438?
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438.
What is 9438 in binary?
10010011011110 (hexadecimal 24DE, octal 22336).
What is the square root of 9438?
About 97.1494, exactly 11√78.
Is 9438 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9438?
It is a composite number with 24 divisors.