The number 498
498 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 83. Divisors (8): 1, 2, 3, 6, 83, 166, 249, 498.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
498 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
498 is composite. Its prime factorisation is
- 3
The divisors add up to 1008; without 498 itself that is 510, so 498 is abundant (510 is more than 498). Euler's totient φ(498) = 164 numbers up to 498 share no factor with it.
- 4
The digits of 498 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 498 = 2 \times 3 \times 83 \]
498 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1008 |
| Euler totient φ(n) | 164 |
| Square | 248004 |
| Cube | 123505992 |
| Square root | 22.315914 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 48 |
| Scientific notation | 4.98 × |
498 in other forms
| Form | Value |
|---|---|
| In words | four hundred and ninety-eight |
| Roman numerals | CDXCVIII |
| Binary (base 2) | 111110010 |
| Octal (base 8) | 762 |
| Hexadecimal (base 16) | 1F2 |
| Base 3 | 200110 |
| As time | 498 seconds = 8 min 18 s |
Is 498 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (498 ÷ 2 = 249) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (498 ÷ 3 = 166) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (498 ÷ 6 = 83) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 498 a prime number?
No. 498 = 2 × 3 × 83, so it is divisible by 2.
What are the factors of 498?
1, 2, 3, 6, 83, 166, 249, 498.
What is 498 in binary?
111110010 (hexadecimal 1F2, octal 762).
What is the square root of 498?
About 22.3159.
What is 498 in Roman numerals?
CDXCVIII.
Is 498 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 498?
It is a composite number with 8 divisors.