The number 492
492 is a composite number with 12 divisors. Its prime factorisation is × 3 × 41. Divisors (12): 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
492 is composite. Its prime factorisation is
- 3
The divisors add up to 1176; without 492 itself that is 684, so 492 is abundant (684 is more than 492). Euler's totient φ(492) = 160 numbers up to 492 share no factor with it.
- 4
The digits of 492 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 492 = 2^{2} \times 3 \times 41 \]492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1176 |
| Euler totient φ(n) | 160 |
| Square | 242064 |
| Cube | 119095488 |
| Square root | 22.181073 (= 2√123) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 4.92 × |
492 in other forms
| Form | Value |
|---|---|
| In words | four hundred and ninety-two |
| Roman numerals | CDXCII |
| Binary (base 2) | 111101100 |
| Octal (base 8) | 754 |
| Hexadecimal (base 16) | 1EC |
| Base 3 | 200020 |
| As time | 492 seconds = 8 min 12 s |
Is 492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (492 ÷ 2 = 246) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (492 ÷ 3 = 164) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (492 ÷ 4 = 123) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (492 ÷ 6 = 82) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 (492 ÷ 12 = 41) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 492 a prime number?
No. 492 = × 3 × 41, so it is divisible by 2.
What are the factors of 492?
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.
What is 492 in binary?
111101100 (hexadecimal 1EC, octal 754).
What is the square root of 492?
About 22.1811, exactly 2√123.
What is 492 in Roman numerals?
CDXCII.
Is 492 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 492?
It is a composite number with 12 divisors.