The number 38112
38112 is a composite number with 24 divisors. Its prime factorisation is × 3 × 397. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 397, 794, 1191, 1588 … 38112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38112: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38112 is composite. Its prime factorisation is
- 3
The divisors add up to 100296; without 38112 itself that is 62184, so 38112 is abundant (62184 is more than 38112). Euler's totient φ(38112) = 12672 numbers up to 38112 share no factor with it.
- 4
The digits of 38112 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38112 = 2^{5} \times 3 \times 397 \]38112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 100296 |
| Euler totient φ(n) | 12672 |
| Square | 1452524544 |
| Cube | 55358615420928 |
| Square root | 195.222949 (= 4√2382) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8112 × |
38112 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and twelve |
| Binary (base 2) | 1001010011100000 |
| Octal (base 8) | 112340 |
| Hexadecimal (base 16) | 94E0 |
| Base 3 | 1221021120 |
| As time | 38112 seconds = 10 h 35 min 12 s |
Is 38112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38112 ÷ 2 = 19056) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38112 ÷ 3 = 12704) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38112 ÷ 4 = 9528) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38112 ÷ 6 = 6352) | 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 | Yes (38112 ÷ 8 = 4764) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38112 ÷ 12 = 3176) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38112 a prime number?
No. 38112 = × 3 × 397, so it is divisible by 2.
What are the factors of 38112?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 397, 794, 1191, 1588, 2382, 3176, 4764, 6352, 9528, 12704, 19056, 38112.
What is 38112 in binary?
1001010011100000 (hexadecimal 94E0, octal 112340).
What is the square root of 38112?
About 195.2229, exactly 4√2382.
Is 38112 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 38112?
38112 is a happy number: repeatedly adding the squares of its digits reaches 1.