The number 3924
3924 is a composite number with 18 divisors. Its prime factorisation is × × 109. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308 … 3924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3924: a Harshad number: divisible by its digit sum 18.
- 2
3924 is composite. Its prime factorisation is
- 3
The divisors add up to 10010; without 3924 itself that is 6086, so 3924 is abundant (6086 is more than 3924). Euler's totient φ(3924) = 1296 numbers up to 3924 share no factor with it.
- 4
The digits of 3924 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3924 = 2^{2} \times 3^{2} \times 109 \]3924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 10010 |
| Euler totient φ(n) | 1296 |
| Square | 15397776 |
| Cube | 60420873024 |
| Square root | 62.641839 (= 6√109) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 25 |
| Scientific notation | 3.924 × |
3924 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and twenty-four |
| Roman numerals | MMMCMXXIV |
| Binary (base 2) | 111101010100 |
| Octal (base 8) | 7524 |
| Hexadecimal (base 16) | F54 |
| Base 3 | 12101100 |
| As time | 3924 seconds = 1 h 5 min 24 s |
Is 3924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3924 ÷ 2 = 1962) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3924 ÷ 3 = 1308) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3924 ÷ 4 = 981) | 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 (3924 ÷ 6 = 654) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (3924 ÷ 9 = 436) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3924 ÷ 12 = 327) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3924 a prime number?
No. 3924 = × × 109, so it is divisible by 2.
What are the factors of 3924?
1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924.
What is 3924 in binary?
111101010100 (hexadecimal F54, octal 7524).
What is the square root of 3924?
About 62.6418, exactly 6√109.
What is 3924 in Roman numerals?
MMMCMXXIV.
Is 3924 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3924?
3924 is a Harshad number: divisible by its digit sum 18.