The number 3824
3824 is a composite number with 10 divisors. Its prime factorisation is × 239. Divisors (10): 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3824 is composite. Its prime factorisation is
- 3
The divisors add up to 7440; without 3824 itself that is 3616, so 3824 is deficient (3616 is less than 3824). Euler's totient φ(3824) = 1904 numbers up to 3824 share no factor with it.
- 4
The digits of 3824 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3824 = 2^{4} \times 239 \]3824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 7440 |
| Euler totient φ(n) | 1904 |
| Square | 14622976 |
| Cube | 55918260224 |
| Square root | 61.838499 (= 4√239) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.824 × |
3824 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and twenty-four |
| Roman numerals | MMMDCCCXXIV |
| Binary (base 2) | 111011110000 |
| Octal (base 8) | 7360 |
| Hexadecimal (base 16) | EF0 |
| Base 3 | 12020122 |
| As time | 3824 seconds = 1 h 3 min 44 s |
Is 3824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3824 ÷ 2 = 1912) | 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 (3824 ÷ 4 = 956) | 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 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 | Yes (3824 ÷ 8 = 478) | 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 7) | 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 3824 a prime number?
No. 3824 = × 239, so it is divisible by 2.
What are the factors of 3824?
1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824.
What is 3824 in binary?
111011110000 (hexadecimal EF0, octal 7360).
What is the square root of 3824?
About 61.8385, exactly 4√239.
What is 3824 in Roman numerals?
MMMDCCCXXIV.
Is 3824 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3824?
It is a composite number with 10 divisors.