The number 38104
38104 is a composite number with 16 divisors. Its prime factorisation is × 11 × 433. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 433, 866, 1732, 3464, 4763, 9526, 19052, 38104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38104 is composite. Its prime factorisation is
- 3
The divisors add up to 78120; without 38104 itself that is 40016, so 38104 is abundant (40016 is more than 38104). Euler's totient φ(38104) = 17280 numbers up to 38104 share no factor with it.
- 4
The digits of 38104 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38104 = 2^{3} \times 11 \times 433 \]38104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78120 |
| Euler totient φ(n) | 17280 |
| Square | 1451914816 |
| Cube | 55323762148864 |
| Square root | 195.202459 (= 2√9526) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8104 × |
38104 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and four |
| Binary (base 2) | 1001010011011000 |
| Octal (base 8) | 112330 |
| Hexadecimal (base 16) | 94D8 |
| Base 3 | 1221021021 |
| As time | 38104 seconds = 10 h 35 min 4 s |
Is 38104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38104 ÷ 2 = 19052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38104 ÷ 4 = 9526) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (38104 ÷ 8 = 4763) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (38104 ÷ 11 = 3464) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38104 a prime number?
No. 38104 = × 11 × 433, so it is divisible by 2.
What are the factors of 38104?
1, 2, 4, 8, 11, 22, 44, 88, 433, 866, 1732, 3464, 4763, 9526, 19052, 38104.
What is 38104 in binary?
1001010011011000 (hexadecimal 94D8, octal 112330).
What is the square root of 38104?
About 195.2025, exactly 2√9526.
Is 38104 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 38104?
It is a composite number with 16 divisors.