The number 18224
18224 is a composite number with 20 divisors. Its prime factorisation is × 17 × 67. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 67, 68, 134, 136, 268, 272, 536, 1072, 1139 … 18224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18224: a Harshad number: divisible by its digit sum 17.
- 2
18224 is composite. Its prime factorisation is
- 3
The divisors add up to 37944; without 18224 itself that is 19720, so 18224 is abundant (19720 is more than 18224). Euler's totient φ(18224) = 8448 numbers up to 18224 share no factor with it.
- 4
The digits of 18224 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18224 = 2^{4} \times 17 \times 67 \]18224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 37944 |
| Euler totient φ(n) | 8448 |
| Square | 332114176 |
| Cube | 6052448743424 |
| Square root | 134.996296 (= 4√1139) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8224 × |
18224 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and twenty-four |
| Binary (base 2) | 100011100110000 |
| Octal (base 8) | 43460 |
| Hexadecimal (base 16) | 4730 |
| Base 3 | 220222222 |
| As time | 18224 seconds = 5 h 3 min 44 s |
Is 18224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18224 ÷ 2 = 9112) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18224 ÷ 4 = 4556) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (18224 ÷ 8 = 2278) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18224 a prime number?
No. 18224 = × 17 × 67, so it is divisible by 2.
What are the factors of 18224?
1, 2, 4, 8, 16, 17, 34, 67, 68, 134, 136, 268, 272, 536, 1072, 1139, 2278, 4556, 9112, 18224.
What is 18224 in binary?
100011100110000 (hexadecimal 4730, octal 43460).
What is the square root of 18224?
About 134.9963, exactly 4√1139.
Is 18224 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 18224?
18224 is a Harshad number: divisible by its digit sum 17.