The number 18135
18135 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 31. Divisors (24): 1, 3, 5, 9, 13, 15, 31, 39, 45, 65, 93, 117, 155, 195, 279, 403 … 18135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18135: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18135 is composite. Its prime factorisation is
- 3
The divisors add up to 34944; without 18135 itself that is 16809, so 18135 is deficient (16809 is less than 18135). Euler's totient φ(18135) = 8640 numbers up to 18135 share no factor with it.
- 4
The digits of 18135 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18135 = 3^{2} \times 5 \times 13 \times 31 \]18135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 34944 |
| Euler totient φ(n) | 8640 |
| Square | 328878225 |
| Cube | 5964206610375 |
| Square root | 134.666254 (= 3√2015) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8135 × |
18135 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and thirty-five |
| Binary (base 2) | 100011011010111 |
| Octal (base 8) | 43327 |
| Hexadecimal (base 16) | 46D7 |
| Base 3 | 220212200 |
| As time | 18135 seconds = 5 h 2 min 15 s |
Is 18135 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18135 ÷ 3 = 6045) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18135 ÷ 5 = 3627) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18135 ÷ 9 = 2015) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18135 a prime number?
No. 18135 = × 5 × 13 × 31, so it is divisible by 3.
What are the factors of 18135?
1, 3, 5, 9, 13, 15, 31, 39, 45, 65, 93, 117, 155, 195, 279, 403, 465, 585, 1209, 1395, 2015, 3627, 6045, 18135.
What is 18135 in binary?
100011011010111 (hexadecimal 46D7, octal 43327).
What is the square root of 18135?
About 134.6663, exactly 3√2015.
Is 18135 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18135?
18135 is a happy number: repeatedly adding the squares of its digits reaches 1.