The number 13518
13518 is a composite number with 12 divisors. Its prime factorisation is 2 × × 751. Divisors (12): 1, 2, 3, 6, 9, 18, 751, 1502, 2253, 4506, 6759, 13518.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13518: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
13518 is composite. Its prime factorisation is
- 3
The divisors add up to 29328; without 13518 itself that is 15810, so 13518 is abundant (15810 is more than 13518). Euler's totient φ(13518) = 4500 numbers up to 13518 share no factor with it.
- 4
The digits of 13518 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13518 = 2 \times 3^{2} \times 751 \]13518 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29328 |
| Euler totient φ(n) | 4500 |
| Square | 182736324 |
| Cube | 2470229627832 |
| Square root | 116.266934 (= 3√1502) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3518 × |
13518 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and eighteen |
| Binary (base 2) | 11010011001110 |
| Octal (base 8) | 32316 |
| Hexadecimal (base 16) | 34CE |
| Base 3 | 200112200 |
| As time | 13518 seconds = 3 h 45 min 18 s |
Is 13518 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13518 ÷ 2 = 6759) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13518 ÷ 3 = 4506) | 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 (13518 ÷ 6 = 2253) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (13518 ÷ 9 = 1502) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13518 a prime number?
No. 13518 = 2 × × 751, so it is divisible by 2.
What are the factors of 13518?
1, 2, 3, 6, 9, 18, 751, 1502, 2253, 4506, 6759, 13518.
What is 13518 in binary?
11010011001110 (hexadecimal 34CE, octal 32316).
What is the square root of 13518?
About 116.2669, exactly 3√1502.
Is 13518 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13518?
13518 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.