The number 38180
38180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 83. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 83, 92, 115, 166, 230, 332, 415, 460 … 38180.
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How to work it out
- 1
What is special about 38180: a Harshad number: divisible by its digit sum 20.
- 2
38180 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 38180 itself that is 46492, so 38180 is abundant (46492 is more than 38180). Euler's totient φ(38180) = 14432 numbers up to 38180 share no factor with it.
- 4
The digits of 38180 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38180 = 2^{2} \times 5 \times 23 \times 83 \]38180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 14432 |
| Square | 1457712400 |
| Cube | 55655459432000 |
| Square root | 195.397032 (= 2√9545) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.818 × |
38180 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and eighty |
| Binary (base 2) | 1001010100100100 |
| Octal (base 8) | 112444 |
| Hexadecimal (base 16) | 9524 |
| Base 3 | 1221101002 |
| As time | 38180 seconds = 10 h 36 min 20 s |
Is 38180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38180 ÷ 2 = 19090) | 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 (38180 ÷ 4 = 9545) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38180 ÷ 5 = 7636) | 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 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 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 | Yes (38180 ÷ 10 = 3818) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38180 a prime number?
No. 38180 = × 5 × 23 × 83, so it is divisible by 2.
What are the factors of 38180?
1, 2, 4, 5, 10, 20, 23, 46, 83, 92, 115, 166, 230, 332, 415, 460, 830, 1660, 1909, 3818, 7636, 9545, 19090, 38180.
What is 38180 in binary?
1001010100100100 (hexadecimal 9524, octal 112444).
What is the square root of 38180?
About 195.3970, exactly 2√9545.
Is 38180 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38180?
38180 is a Harshad number: divisible by its digit sum 20.