The number 33924
33924 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 257. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 257, 514, 771, 1028 … 33924.
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How to work it out
- 1
33924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33924 is composite. Its prime factorisation is
- 3
The divisors add up to 86688; without 33924 itself that is 52764, so 33924 is abundant (52764 is more than 33924). Euler's totient φ(33924) = 10240 numbers up to 33924 share no factor with it.
- 4
The digits of 33924 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33924 = 2^{2} \times 3 \times 11 \times 257 \]33924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 86688 |
| Euler totient φ(n) | 10240 |
| Square | 1150837776 |
| Cube | 39041020713024 |
| Square root | 184.184690 (= 2√8481) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3924 × |
33924 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and twenty-four |
| Binary (base 2) | 1000010010000100 |
| Octal (base 8) | 102204 |
| Hexadecimal (base 16) | 8484 |
| Base 3 | 1201112110 |
| As time | 33924 seconds = 9 h 25 min 24 s |
Is 33924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33924 ÷ 2 = 16962) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33924 ÷ 3 = 11308) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33924 ÷ 4 = 8481) | 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 (33924 ÷ 6 = 5654) | 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 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 | Yes (33924 ÷ 11 = 3084) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33924 ÷ 12 = 2827) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33924 a prime number?
No. 33924 = × 3 × 11 × 257, so it is divisible by 2.
What are the factors of 33924?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 257, 514, 771, 1028, 1542, 2827, 3084, 5654, 8481, 11308, 16962, 33924.
What is 33924 in binary?
1000010010000100 (hexadecimal 8484, octal 102204).
What is the square root of 33924?
About 184.1847, exactly 2√8481.
Is 33924 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33924?
It is a composite number with 24 divisors.