The number 38184
38184 is a composite number with 32 divisors. Its prime factorisation is × 3 × 37 × 43. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 37, 43, 74, 86, 111, 129, 148, 172 … 38184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38184: a Harshad number: divisible by its digit sum 24.
- 2
38184 is composite. Its prime factorisation is
- 3
The divisors add up to 100320; without 38184 itself that is 62136, so 38184 is abundant (62136 is more than 38184). Euler's totient φ(38184) = 12096 numbers up to 38184 share no factor with it.
- 4
The digits of 38184 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38184 = 2^{3} \times 3 \times 37 \times 43 \]38184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 100320 |
| Euler totient φ(n) | 12096 |
| Square | 1458017856 |
| Cube | 55672953813504 |
| Square root | 195.407267 (= 2√9546) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8184 × |
38184 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and eighty-four |
| Binary (base 2) | 1001010100101000 |
| Octal (base 8) | 112450 |
| Hexadecimal (base 16) | 9528 |
| Base 3 | 1221101020 |
| As time | 38184 seconds = 10 h 36 min 24 s |
Is 38184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38184 ÷ 2 = 19092) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38184 ÷ 3 = 12728) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38184 ÷ 4 = 9546) | 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 (38184 ÷ 6 = 6364) | 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 | Yes (38184 ÷ 8 = 4773) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38184 ÷ 12 = 3182) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38184 a prime number?
No. 38184 = × 3 × 37 × 43, so it is divisible by 2.
What are the factors of 38184?
1, 2, 3, 4, 6, 8, 12, 24, 37, 43, 74, 86, 111, 129, 148, 172, 222, 258, 296, 344, 444, 516, 888, 1032, 1591, 3182, 4773, 6364, 9546, 12728, 19092, 38184.
What is 38184 in binary?
1001010100101000 (hexadecimal 9528, octal 112450).
What is the square root of 38184?
About 195.4073, exactly 2√9546.
Is 38184 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38184?
38184 is a Harshad number: divisible by its digit sum 24.