The number 18522
18522 is a composite number with 32 divisors. Its prime factorisation is 2 × × . Divisors (32): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126 … 18522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18522: a Harshad number: divisible by its digit sum 18.
- 2
18522 is composite. Its prime factorisation is
- 3
The divisors add up to 48000; without 18522 itself that is 29478, so 18522 is abundant (29478 is more than 18522). Euler's totient φ(18522) = 5292 numbers up to 18522 share no factor with it.
- 4
The digits of 18522 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 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18522 = 2 \times 3^{3} \times 7^{3} \]18522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 48000 |
| Euler totient φ(n) | 5292 |
| Square | 343064484 |
| Cube | 6354240372648 |
| Square root | 136.095555 (= 21√42) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.8522 × |
18522 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand five hundred and twenty-two |
| Binary (base 2) | 100100001011010 |
| Octal (base 8) | 44132 |
| Hexadecimal (base 16) | 485A |
| Base 3 | 221102000 |
| As time | 18522 seconds = 5 h 8 min 42 s |
Is 18522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18522 ÷ 2 = 9261) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18522 ÷ 3 = 6174) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18522 ÷ 6 = 3087) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18522 ÷ 7 = 2646) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18522 ÷ 9 = 2058) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 18522 a prime number?
No. 18522 = 2 × × , so it is divisible by 2.
What are the factors of 18522?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 343, 378, 441, 686, 882, 1029, 1323, 2058, 2646, 3087, 6174, 9261, 18522.
What is 18522 in binary?
100100001011010 (hexadecimal 485A, octal 44132).
What is the square root of 18522?
About 136.0956, exactly 21√42.
Is 18522 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18522?
18522 is a Harshad number: divisible by its digit sum 18.