The number 518
518 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 37. Divisors (8): 1, 2, 7, 14, 37, 74, 259, 518.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 518: a Harshad number: divisible by its digit sum 14.
- 2
518 is composite. Its prime factorisation is
- 3
The divisors add up to 912; without 518 itself that is 394, so 518 is deficient (394 is less than 518). Euler's totient φ(518) = 216 numbers up to 518 share no factor with it.
- 4
The digits of 518 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 518 = 2 \times 7 \times 37 \]
518 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 912 |
| Euler totient φ(n) | 216 |
| Square | 268324 |
| Cube | 138991832 |
| Square root | 22.759613 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 123 |
| Scientific notation | 5.18 × |
518 in other forms
| Form | Value |
|---|---|
| In words | five hundred and eighteen |
| Roman numerals | DXVIII |
| Binary (base 2) | 1000000110 |
| Octal (base 8) | 1006 |
| Hexadecimal (base 16) | 206 |
| Base 3 | 201012 |
| As time | 518 seconds = 8 min 38 s |
Is 518 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (518 ÷ 2 = 259) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (518 ÷ 7 = 74) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 518 a prime number?
No. 518 = 2 × 7 × 37, so it is divisible by 2.
What are the factors of 518?
1, 2, 7, 14, 37, 74, 259, 518.
What is 518 in binary?
1000000110 (hexadecimal 206, octal 1006).
What is the square root of 518?
About 22.7596.
What is 518 in Roman numerals?
DXVIII.
Is 518 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 518?
518 is a Harshad number: divisible by its digit sum 14.