The number 9338
9338 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 23 × 29. Divisors (16): 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9338: a Harshad number: divisible by its digit sum 23.
- 2
9338 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 9338 itself that is 7942, so 9338 is deficient (7942 is less than 9338). Euler's totient φ(9338) = 3696 numbers up to 9338 share no factor with it.
- 4
The digits of 9338 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9338 = 2 \times 7 \times 23 \times 29 \]
9338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 3696 |
| Square | 87198244 |
| Cube | 814257202472 |
| Square root | 96.633328 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.338 × |
9338 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and thirty-eight |
| Binary (base 2) | 10010001111010 |
| Octal (base 8) | 22172 |
| Hexadecimal (base 16) | 247A |
| Base 3 | 110210212 |
| As time | 9338 seconds = 2 h 35 min 38 s |
Is 9338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9338 ÷ 2 = 4669) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9338 ÷ 7 = 1334) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9338 a prime number?
No. 9338 = 2 × 7 × 23 × 29, so it is divisible by 2.
What are the factors of 9338?
1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338.
What is 9338 in binary?
10010001111010 (hexadecimal 247A, octal 22172).
What is the square root of 9338?
About 96.6333.
Is 9338 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9338?
9338 is a Harshad number: divisible by its digit sum 23.