The number 39804
39804 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 107. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 93, 107, 124, 186, 214, 321, 372, 428 … 39804.
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How to work it out
- 1
39804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39804 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 39804 itself that is 56964, so 39804 is abundant (56964 is more than 39804). Euler's totient φ(39804) = 12720 numbers up to 39804 share no factor with it.
- 4
The digits of 39804 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39804 = 2^{2} \times 3 \times 31 \times 107 \]39804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 12720 |
| Square | 1584358416 |
| Cube | 63063802390464 |
| Square root | 199.509398 (= 2√9951) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9804 × |
39804 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand eight hundred and four |
| Binary (base 2) | 1001101101111100 |
| Octal (base 8) | 115574 |
| Hexadecimal (base 16) | 9B7C |
| Base 3 | 2000121020 |
| As time | 39804 seconds = 11 h 3 min 24 s |
Is 39804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39804 ÷ 2 = 19902) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39804 ÷ 3 = 13268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39804 ÷ 4 = 9951) | 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 (39804 ÷ 6 = 6634) | 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 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (39804 ÷ 12 = 3317) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39804 a prime number?
No. 39804 = × 3 × 31 × 107, so it is divisible by 2.
What are the factors of 39804?
1, 2, 3, 4, 6, 12, 31, 62, 93, 107, 124, 186, 214, 321, 372, 428, 642, 1284, 3317, 6634, 9951, 13268, 19902, 39804.
What is 39804 in binary?
1001101101111100 (hexadecimal 9B7C, octal 115574).
What is the square root of 39804?
About 199.5094, exactly 2√9951.
Is 39804 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 39804?
It is a composite number with 24 divisors.