The number 538
538 is a composite number with 4 divisors. Its prime factorisation is 2 × 269. Divisors (4): 1, 2, 269, 538.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 538: a semiprime: 2 × 269, the product of two primes.
- 2
538 is composite. Its prime factorisation is
- 3
The divisors add up to 810; without 538 itself that is 272, so 538 is deficient (272 is less than 538). Euler's totient φ(538) = 268 numbers up to 538 share no factor with it.
- 4
The digits of 538 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 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 538 = 2 \times 269 \]
538 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 810 |
| Euler totient φ(n) | 268 |
| Square | 289444 |
| Cube | 155720872 |
| Square root | 23.194827 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 30 |
| Scientific notation | 5.38 × |
538 in other forms
| Form | Value |
|---|---|
| In words | five hundred and thirty-eight |
| Roman numerals | DXXXVIII |
| Binary (base 2) | 1000011010 |
| Octal (base 8) | 1032 |
| Hexadecimal (base 16) | 21A |
| Base 3 | 201221 |
| As time | 538 seconds = 8 min 58 s |
Is 538 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (538 ÷ 2 = 269) | 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 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 538 a prime number?
No. 538 = 2 × 269, so it is divisible by 2.
What are the factors of 538?
1, 2, 269, 538.
What is 538 in binary?
1000011010 (hexadecimal 21A, octal 1032).
What is the square root of 538?
About 23.1948.
What is 538 in Roman numerals?
DXXXVIII.
Is 538 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 538?
538 is a semiprime: 2 × 269, the product of two primes.