The number 38046
38046 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 373. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 373, 746, 1119, 2238, 6341, 12682, 19023, 38046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38046 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38046 is composite. Its prime factorisation is
- 3
The divisors add up to 80784; without 38046 itself that is 42738, so 38046 is abundant (42738 is more than 38046). Euler's totient φ(38046) = 11904 numbers up to 38046 share no factor with it.
- 4
The digits of 38046 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38046 = 2 \times 3 \times 17 \times 373 \]
38046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80784 |
| Euler totient φ(n) | 11904 |
| Square | 1447498116 |
| Cube | 55071513321336 |
| Square root | 195.053839 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8046 × |
38046 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and forty-six |
| Binary (base 2) | 1001010010011110 |
| Octal (base 8) | 112236 |
| Hexadecimal (base 16) | 949E |
| Base 3 | 1221012010 |
| As time | 38046 seconds = 10 h 34 min 6 s |
Is 38046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38046 ÷ 2 = 19023) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38046 ÷ 3 = 12682) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38046 ÷ 6 = 6341) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38046 a prime number?
No. 38046 = 2 × 3 × 17 × 373, so it is divisible by 2.
What are the factors of 38046?
1, 2, 3, 6, 17, 34, 51, 102, 373, 746, 1119, 2238, 6341, 12682, 19023, 38046.
What is 38046 in binary?
1001010010011110 (hexadecimal 949E, octal 112236).
What is the square root of 38046?
About 195.0538.
Is 38046 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38046?
It is a composite number with 16 divisors.