The number 18495
18495 is a composite number with 16 divisors. Its prime factorisation is × 5 × 137. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 137, 411, 685, 1233, 2055, 3699, 6165, 18495.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18495: a Harshad number: divisible by its digit sum 27.
- 2
18495 is composite. Its prime factorisation is
- 3
The divisors add up to 33120; without 18495 itself that is 14625, so 18495 is deficient (14625 is less than 18495). Euler's totient φ(18495) = 9792 numbers up to 18495 share no factor with it.
- 4
The digits of 18495 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18495 = 3^{3} \times 5 \times 137 \]18495 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33120 |
| Euler totient φ(n) | 9792 |
| Square | 342065025 |
| Cube | 6326492637375 |
| Square root | 135.996323 (= 3√2055) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.8495 × |
18495 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and ninety-five |
| Binary (base 2) | 100100000111111 |
| Octal (base 8) | 44077 |
| Hexadecimal (base 16) | 483F |
| Base 3 | 221101000 |
| As time | 18495 seconds = 5 h 8 min 15 s |
Is 18495 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 (18495 ÷ 3 = 6165) | 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 (18495 ÷ 5 = 3699) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18495 ÷ 9 = 2055) | 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 4) | 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 18495 a prime number?
No. 18495 = × 5 × 137, so it is divisible by 3.
What are the factors of 18495?
1, 3, 5, 9, 15, 27, 45, 135, 137, 411, 685, 1233, 2055, 3699, 6165, 18495.
What is 18495 in binary?
100100000111111 (hexadecimal 483F, octal 44077).
What is the square root of 18495?
About 135.9963, exactly 3√2055.
Is 18495 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 18495?
18495 is a Harshad number: divisible by its digit sum 27.