The number 38004
38004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3167. Divisors (12): 1, 2, 3, 4, 6, 12, 3167, 6334, 9501, 12668, 19002, 38004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38004 is composite. Its prime factorisation is
- 3
The divisors add up to 88704; without 38004 itself that is 50700, so 38004 is abundant (50700 is more than 38004). Euler's totient φ(38004) = 12664 numbers up to 38004 share no factor with it.
- 4
The digits of 38004 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38004 = 2^{2} \times 3 \times 3167 \]38004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88704 |
| Euler totient φ(n) | 12664 |
| Square | 1444304016 |
| Cube | 54889329824064 |
| Square root | 194.946146 (= 2√9501) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8004 × |
38004 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and four |
| Binary (base 2) | 1001010001110100 |
| Octal (base 8) | 112164 |
| Hexadecimal (base 16) | 9474 |
| Base 3 | 1221010120 |
| As time | 38004 seconds = 10 h 33 min 24 s |
Is 38004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38004 ÷ 2 = 19002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38004 ÷ 3 = 12668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38004 ÷ 4 = 9501) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38004 ÷ 6 = 6334) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (38004 ÷ 12 = 3167) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38004 a prime number?
No. 38004 = × 3 × 3167, so it is divisible by 2.
What are the factors of 38004?
1, 2, 3, 4, 6, 12, 3167, 6334, 9501, 12668, 19002, 38004.
What is 38004 in binary?
1001010001110100 (hexadecimal 9474, octal 112164).
What is the square root of 38004?
About 194.9461, exactly 2√9501.
Is 38004 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 38004?
It is a composite number with 12 divisors.