The number 38364
38364 is a composite number with 24 divisors. Its prime factorisation is × 3 × 23 × 139. Divisors (24): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 139, 276, 278, 417, 556 … 38364.
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How to work it out
- 1
38364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38364 is composite. Its prime factorisation is
- 3
The divisors add up to 94080; without 38364 itself that is 55716, so 38364 is abundant (55716 is more than 38364). Euler's totient φ(38364) = 12144 numbers up to 38364 share no factor with it.
- 4
The digits of 38364 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38364 = 2^{2} \times 3 \times 23 \times 139 \]38364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 94080 |
| Euler totient φ(n) | 12144 |
| Square | 1471796496 |
| Cube | 56464000772544 |
| Square root | 195.867302 (= 2√9591) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8364 × |
38364 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and sixty-four |
| Binary (base 2) | 1001010111011100 |
| Octal (base 8) | 112734 |
| Hexadecimal (base 16) | 95DC |
| Base 3 | 1221121220 |
| As time | 38364 seconds = 10 h 39 min 24 s |
Is 38364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38364 ÷ 2 = 19182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38364 ÷ 3 = 12788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38364 ÷ 4 = 9591) | 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 | Yes (38364 ÷ 6 = 6394) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38364 ÷ 12 = 3197) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38364 a prime number?
No. 38364 = × 3 × 23 × 139, so it is divisible by 2.
What are the factors of 38364?
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 139, 276, 278, 417, 556, 834, 1668, 3197, 6394, 9591, 12788, 19182, 38364.
What is 38364 in binary?
1001010111011100 (hexadecimal 95DC, octal 112734).
What is the square root of 38364?
About 195.8673, exactly 2√9591.
Is 38364 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38364?
It is a composite number with 24 divisors.