The number 493
493 is a composite number with 4 divisors. Its prime factorisation is 17 × 29. Divisors (4): 1, 17, 29, 493.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 493: a semiprime: 17 × 29, the product of two primes.
- 2
493 is composite. Its prime factorisation is
- 3
The divisors add up to 540; without 493 itself that is 47, so 493 is deficient (47 is less than 493). Euler's totient φ(493) = 448 numbers up to 493 share no factor with it.
- 4
The digits of 493 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 493 = 17 \times 29 \]
493 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 540 |
| Euler totient φ(n) | 448 |
| Square | 243049 |
| Cube | 119823157 |
| Square root | 22.203603 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 48 |
| Scientific notation | 4.93 × |
493 in other forms
| Form | Value |
|---|---|
| In words | four hundred and ninety-three |
| Roman numerals | CDXCIII |
| Binary (base 2) | 111101101 |
| Octal (base 8) | 755 |
| Hexadecimal (base 16) | 1ED |
| Base 3 | 200021 |
| As time | 493 seconds = 8 min 13 s |
Is 493 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 493 a prime number?
No. 493 = 17 × 29, so it is divisible by 17.
What are the factors of 493?
1, 17, 29, 493.
What is 493 in binary?
111101101 (hexadecimal 1ED, octal 755).
What is the square root of 493?
About 22.2036.
What is 493 in Roman numerals?
CDXCIII.
Is 493 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 493?
493 is a semiprime: 17 × 29, the product of two primes.