The number 38324
38324 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 67. Divisors (24): 1, 2, 4, 11, 13, 22, 26, 44, 52, 67, 134, 143, 268, 286, 572, 737 … 38324.
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How to work it out
- 1
38324 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38324 is composite. Its prime factorisation is
- 3
The divisors add up to 79968; without 38324 itself that is 41644, so 38324 is abundant (41644 is more than 38324). Euler's totient φ(38324) = 15840 numbers up to 38324 share no factor with it.
- 4
The digits of 38324 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38324 = 2^{2} \times 11 \times 13 \times 67 \]38324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 79968 |
| Euler totient φ(n) | 15840 |
| Square | 1468728976 |
| Cube | 56287569276224 |
| Square root | 195.765165 (= 2√9581) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.8324 × |
38324 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and twenty-four |
| Binary (base 2) | 1001010110110100 |
| Octal (base 8) | 112664 |
| Hexadecimal (base 16) | 95B4 |
| Base 3 | 1221120102 |
| As time | 38324 seconds = 10 h 38 min 44 s |
Is 38324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38324 ÷ 2 = 19162) | 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 | Yes (38324 ÷ 4 = 9581) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 6) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38324 ÷ 11 = 3484) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38324 a prime number?
No. 38324 = × 11 × 13 × 67, so it is divisible by 2.
What are the factors of 38324?
1, 2, 4, 11, 13, 22, 26, 44, 52, 67, 134, 143, 268, 286, 572, 737, 871, 1474, 1742, 2948, 3484, 9581, 19162, 38324.
What is 38324 in binary?
1001010110110100 (hexadecimal 95B4, octal 112664).
What is the square root of 38324?
About 195.7652, exactly 2√9581.
Is 38324 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38324?
It is a composite number with 24 divisors.