The number 38704
38704 is a composite number with 20 divisors. Its prime factorisation is × 41 × 59. Divisors (20): 1, 2, 4, 8, 16, 41, 59, 82, 118, 164, 236, 328, 472, 656, 944, 2419 … 38704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38704 is composite. Its prime factorisation is
- 3
The divisors add up to 78120; without 38704 itself that is 39416, so 38704 is abundant (39416 is more than 38704). Euler's totient φ(38704) = 18560 numbers up to 38704 share no factor with it.
- 4
The digits of 38704 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38704 = 2^{4} \times 41 \times 59 \]38704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 78120 |
| Euler totient φ(n) | 18560 |
| Square | 1497999616 |
| Cube | 57978577137664 |
| Square root | 196.733322 (= 4√2419) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8704 × |
38704 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and four |
| Binary (base 2) | 1001011100110000 |
| Octal (base 8) | 113460 |
| Hexadecimal (base 16) | 9730 |
| Base 3 | 1222002111 |
| As time | 38704 seconds = 10 h 45 min 4 s |
Is 38704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38704 ÷ 2 = 19352) | 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 (38704 ÷ 4 = 9676) | 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 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 | Yes (38704 ÷ 8 = 4838) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | 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 38704 a prime number?
No. 38704 = × 41 × 59, so it is divisible by 2.
What are the factors of 38704?
1, 2, 4, 8, 16, 41, 59, 82, 118, 164, 236, 328, 472, 656, 944, 2419, 4838, 9676, 19352, 38704.
What is 38704 in binary?
1001011100110000 (hexadecimal 9730, octal 113460).
What is the square root of 38704?
About 196.7333, exactly 4√2419.
Is 38704 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38704?
It is a composite number with 20 divisors.