The number 508
508 is a composite number with 6 divisors. Its prime factorisation is × 127. Divisors (6): 1, 2, 4, 127, 254, 508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
508 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
508 is composite. Its prime factorisation is
- 3
The divisors add up to 896; without 508 itself that is 388, so 508 is deficient (388 is less than 508). Euler's totient φ(508) = 252 numbers up to 508 share no factor with it.
- 4
The digits of 508 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 508 = 2^{2} \times 127 \]508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 896 |
| Euler totient φ(n) | 252 |
| Square | 258064 |
| Cube | 131096512 |
| Square root | 22.538855 (= 2√127) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 5.08 × |
508 in other forms
| Form | Value |
|---|---|
| In words | five hundred and eight |
| Roman numerals | DVIII |
| Binary (base 2) | 111111100 |
| Octal (base 8) | 774 |
| Hexadecimal (base 16) | 1FC |
| Base 3 | 200211 |
| As time | 508 seconds = 8 min 28 s |
Is 508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (508 ÷ 2 = 254) | 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 | Yes (508 ÷ 4 = 127) | 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 4) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 508 a prime number?
No. 508 = × 127, so it is divisible by 2.
What are the factors of 508?
1, 2, 4, 127, 254, 508.
What is 508 in binary?
111111100 (hexadecimal 1FC, octal 774).
What is the square root of 508?
About 22.5389, exactly 2√127.
What is 508 in Roman numerals?
DVIII.
Is 508 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 508?
It is a composite number with 6 divisors.