The number 38042
38042 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 827. Divisors (8): 1, 2, 23, 46, 827, 1654, 19021, 38042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38042 is composite. Its prime factorisation is
- 3
The divisors add up to 59616; without 38042 itself that is 21574, so 38042 is deficient (21574 is less than 38042). Euler's totient φ(38042) = 18172 numbers up to 38042 share no factor with it.
- 4
The digits of 38042 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
\[ 38042 = 2 \times 23 \times 827 \]
38042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59616 |
| Euler totient φ(n) | 18172 |
| Square | 1447193764 |
| Cube | 55054145170088 |
| Square root | 195.043585 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8042 × |
38042 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and forty-two |
| Binary (base 2) | 1001010010011010 |
| Octal (base 8) | 112232 |
| Hexadecimal (base 16) | 949A |
| Base 3 | 1221011222 |
| As time | 38042 seconds = 10 h 34 min 2 s |
Is 38042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38042 ÷ 2 = 19021) | 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 | No (remainder 2) | 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 | No (remainder 2) | 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 2) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38042 a prime number?
No. 38042 = 2 × 23 × 827, so it is divisible by 2.
What are the factors of 38042?
1, 2, 23, 46, 827, 1654, 19021, 38042.
What is 38042 in binary?
1001010010011010 (hexadecimal 949A, octal 112232).
What is the square root of 38042?
About 195.0436.
Is 38042 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38042?
It is a composite number with 8 divisors.