The number 38684
38684 is a composite number with 12 divisors. Its prime factorisation is × 19 × 509. Divisors (12): 1, 2, 4, 19, 38, 76, 509, 1018, 2036, 9671, 19342, 38684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38684 is composite. Its prime factorisation is
- 3
The divisors add up to 71400; without 38684 itself that is 32716, so 38684 is deficient (32716 is less than 38684). Euler's totient φ(38684) = 18288 numbers up to 38684 share no factor with it.
- 4
The digits of 38684 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38684 = 2^{2} \times 19 \times 509 \]38684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71400 |
| Euler totient φ(n) | 18288 |
| Square | 1496451856 |
| Cube | 57888743597504 |
| Square root | 196.682485 (= 2√9671) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8684 × |
38684 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and eighty-four |
| Binary (base 2) | 1001011100011100 |
| Octal (base 8) | 113434 |
| Hexadecimal (base 16) | 971C |
| Base 3 | 1222001202 |
| As time | 38684 seconds = 10 h 44 min 44 s |
Is 38684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38684 ÷ 2 = 19342) | 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 | Yes (38684 ÷ 4 = 9671) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38684 a prime number?
No. 38684 = × 19 × 509, so it is divisible by 2.
What are the factors of 38684?
1, 2, 4, 19, 38, 76, 509, 1018, 2036, 9671, 19342, 38684.
What is 38684 in binary?
1001011100011100 (hexadecimal 971C, octal 113434).
What is the square root of 38684?
About 196.6825, exactly 2√9671.
Is 38684 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38684?
It is a composite number with 12 divisors.