The number 39684
39684 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3307. Divisors (12): 1, 2, 3, 4, 6, 12, 3307, 6614, 9921, 13228, 19842, 39684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39684 is composite. Its prime factorisation is
- 3
The divisors add up to 92624; without 39684 itself that is 52940, so 39684 is abundant (52940 is more than 39684). Euler's totient φ(39684) = 13224 numbers up to 39684 share no factor with it.
- 4
The digits of 39684 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39684 = 2^{2} \times 3 \times 3307 \]39684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 92624 |
| Euler totient φ(n) | 13224 |
| Square | 1574819856 |
| Cube | 62495151165504 |
| Square root | 199.208434 (= 2√9921) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9684 × |
39684 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand six hundred and eighty-four |
| Binary (base 2) | 1001101100000100 |
| Octal (base 8) | 115404 |
| Hexadecimal (base 16) | 9B04 |
| Base 3 | 2000102210 |
| As time | 39684 seconds = 11 h 1 min 24 s |
Is 39684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39684 ÷ 2 = 19842) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39684 ÷ 3 = 13228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39684 ÷ 4 = 9921) | 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 (39684 ÷ 6 = 6614) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (39684 ÷ 12 = 3307) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39684 a prime number?
No. 39684 = × 3 × 3307, so it is divisible by 2.
What are the factors of 39684?
1, 2, 3, 4, 6, 12, 3307, 6614, 9921, 13228, 19842, 39684.
What is 39684 in binary?
1001101100000100 (hexadecimal 9B04, octal 115404).
What is the square root of 39684?
About 199.2084, exactly 2√9921.
Is 39684 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 39684?
It is a composite number with 12 divisors.