The number 1518
1518 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 23. Divisors (16): 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1518: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1518 is composite. Its prime factorisation is
- 3
The divisors add up to 3456; without 1518 itself that is 1938, so 1518 is abundant (1938 is more than 1518). Euler's totient φ(1518) = 440 numbers up to 1518 share no factor with it.
- 4
The digits of 1518 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1518 = 2 \times 3 \times 11 \times 23 \]
1518 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3456 |
| Euler totient φ(n) | 440 |
| Square | 2304324 |
| Cube | 3497963832 |
| Square root | 38.961519 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.518 × |
1518 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and eighteen |
| Roman numerals | MDXVIII |
| Binary (base 2) | 10111101110 |
| Octal (base 8) | 2756 |
| Hexadecimal (base 16) | 5EE |
| Base 3 | 2002020 |
| As time | 1518 seconds = 25 min 18 s |
Is 1518 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1518 ÷ 2 = 759) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1518 ÷ 3 = 506) | 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 (1518 ÷ 6 = 253) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (1518 ÷ 11 = 138) | 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 1518 a prime number?
No. 1518 = 2 × 3 × 11 × 23, so it is divisible by 2.
What are the factors of 1518?
1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518.
What is 1518 in binary?
10111101110 (hexadecimal 5EE, octal 2756).
What is the square root of 1518?
About 38.9615.
What is 1518 in Roman numerals?
MDXVIII.
Is 1518 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1518?
1518 is a happy number: repeatedly adding the squares of its digits reaches 1.