The number 924
924 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 11. Divisors (24): 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66 … 924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
924 is composite. Its prime factorisation is
- 3
The divisors add up to 2688; without 924 itself that is 1764, so 924 is abundant (1764 is more than 924). Euler's totient φ(924) = 240 numbers up to 924 share no factor with it.
- 4
The digits of 924 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 924 = 2^{2} \times 3 \times 7 \times 11 \]924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 2688 |
| Euler totient φ(n) | 240 |
| Square | 853776 |
| Cube | 788889024 |
| Square root | 30.397368 (= 2√231) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 9.24 × |
924 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and twenty-four |
| Roman numerals | CMXXIV |
| Binary (base 2) | 1110011100 |
| Octal (base 8) | 1634 |
| Hexadecimal (base 16) | 39C |
| Base 3 | 1021020 |
| As time | 924 seconds = 15 min 24 s |
Is 924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (924 ÷ 2 = 462) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (924 ÷ 3 = 308) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (924 ÷ 4 = 231) | 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 (924 ÷ 6 = 154) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (924 ÷ 7 = 132) | 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 6) | 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 (924 ÷ 11 = 84) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (924 ÷ 12 = 77) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 924 a prime number?
No. 924 = × 3 × 7 × 11, so it is divisible by 2.
What are the factors of 924?
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924.
What is 924 in binary?
1110011100 (hexadecimal 39C, octal 1634).
What is the square root of 924?
About 30.3974, exactly 2√231.
What is 924 in Roman numerals?
CMXXIV.
Is 924 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 924?
It is a composite number with 24 divisors.