The number 39924
39924 is a composite number with 18 divisors. Its prime factorisation is × × 1109. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1109, 2218, 3327, 4436, 6654, 9981, 13308 … 39924.
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How to work it out
- 1
39924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39924 is composite. Its prime factorisation is
- 3
The divisors add up to 101010; without 39924 itself that is 61086, so 39924 is abundant (61086 is more than 39924). Euler's totient φ(39924) = 13296 numbers up to 39924 share no factor with it.
- 4
The digits of 39924 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39924 = 2^{2} \times 3^{2} \times 1109 \]39924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 101010 |
| Euler totient φ(n) | 13296 |
| Square | 1593925776 |
| Cube | 63635892681024 |
| Square root | 199.809910 (= 6√1109) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9924 × |
39924 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and twenty-four |
| Binary (base 2) | 1001101111110100 |
| Octal (base 8) | 115764 |
| Hexadecimal (base 16) | 9BF4 |
| Base 3 | 2000202200 |
| As time | 39924 seconds = 11 h 5 min 24 s |
Is 39924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39924 ÷ 2 = 19962) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39924 ÷ 3 = 13308) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39924 ÷ 4 = 9981) | 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 (39924 ÷ 6 = 6654) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (39924 ÷ 9 = 4436) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (39924 ÷ 12 = 3327) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39924 a prime number?
No. 39924 = × × 1109, so it is divisible by 2.
What are the factors of 39924?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1109, 2218, 3327, 4436, 6654, 9981, 13308, 19962, 39924.
What is 39924 in binary?
1001101111110100 (hexadecimal 9BF4, octal 115764).
What is the square root of 39924?
About 199.8099, exactly 6√1109.
Is 39924 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 39924?
It is a composite number with 18 divisors.