The number 38060
38060 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 173. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 173, 220, 346, 692, 865 … 38060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38060: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38060 is composite. Its prime factorisation is
- 3
The divisors add up to 87696; without 38060 itself that is 49636, so 38060 is abundant (49636 is more than 38060). Euler's totient φ(38060) = 13760 numbers up to 38060 share no factor with it.
- 4
The digits of 38060 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38060 = 2^{2} \times 5 \times 11 \times 173 \]38060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87696 |
| Euler totient φ(n) | 13760 |
| Square | 1448563600 |
| Cube | 55132330616000 |
| Square root | 195.089723 (= 2√9515) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.806 × |
38060 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and sixty |
| Binary (base 2) | 1001010010101100 |
| Octal (base 8) | 112254 |
| Hexadecimal (base 16) | 94AC |
| Base 3 | 1221012122 |
| As time | 38060 seconds = 10 h 34 min 20 s |
Is 38060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38060 ÷ 2 = 19030) | 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 (38060 ÷ 4 = 9515) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38060 ÷ 5 = 7612) | 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38060 ÷ 10 = 3806) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38060 ÷ 11 = 3460) | 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 38060 a prime number?
No. 38060 = × 5 × 11 × 173, so it is divisible by 2.
What are the factors of 38060?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 173, 220, 346, 692, 865, 1730, 1903, 3460, 3806, 7612, 9515, 19030, 38060.
What is 38060 in binary?
1001010010101100 (hexadecimal 94AC, octal 112254).
What is the square root of 38060?
About 195.0897, exactly 2√9515.
Is 38060 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38060?
38060 is a happy number: repeatedly adding the squares of its digits reaches 1.