The number 39824
39824 is a composite number with 20 divisors. Its prime factorisation is × 19 × 131. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 131, 152, 262, 304, 524, 1048, 2096, 2489 … 39824.
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How to work it out
- 1
39824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39824 is composite. Its prime factorisation is
- 3
The divisors add up to 81840; without 39824 itself that is 42016, so 39824 is abundant (42016 is more than 39824). Euler's totient φ(39824) = 18720 numbers up to 39824 share no factor with it.
- 4
The digits of 39824 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39824 = 2^{4} \times 19 \times 131 \]39824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 81840 |
| Euler totient φ(n) | 18720 |
| Square | 1585950976 |
| Cube | 63158911668224 |
| Square root | 199.559515 (= 4√2489) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 3.9824 × |
39824 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand eight hundred and twenty-four |
| Binary (base 2) | 1001101110010000 |
| Octal (base 8) | 115620 |
| Hexadecimal (base 16) | 9B90 |
| Base 3 | 2000121222 |
| As time | 39824 seconds = 11 h 3 min 44 s |
Is 39824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39824 ÷ 2 = 19912) | 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 (39824 ÷ 4 = 9956) | 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 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 (39824 ÷ 8 = 4978) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | 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 39824 a prime number?
No. 39824 = × 19 × 131, so it is divisible by 2.
What are the factors of 39824?
1, 2, 4, 8, 16, 19, 38, 76, 131, 152, 262, 304, 524, 1048, 2096, 2489, 4978, 9956, 19912, 39824.
What is 39824 in binary?
1001101110010000 (hexadecimal 9B90, octal 115620).
What is the square root of 39824?
About 199.5595, exactly 4√2489.
Is 39824 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 39824?
It is a composite number with 20 divisors.