The number 18044
18044 is a composite number with 12 divisors. Its prime factorisation is × 13 × 347. Divisors (12): 1, 2, 4, 13, 26, 52, 347, 694, 1388, 4511, 9022, 18044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18044: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18044 is composite. Its prime factorisation is
- 3
The divisors add up to 34104; without 18044 itself that is 16060, so 18044 is deficient (16060 is less than 18044). Euler's totient φ(18044) = 8304 numbers up to 18044 share no factor with it.
- 4
The digits of 18044 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 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18044 = 2^{2} \times 13 \times 347 \]18044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34104 |
| Euler totient φ(n) | 8304 |
| Square | 325585936 |
| Cube | 5874872629184 |
| Square root | 134.327957 (= 2√4511) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8044 × |
18044 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and forty-four |
| Binary (base 2) | 100011001111100 |
| Octal (base 8) | 43174 |
| Hexadecimal (base 16) | 467C |
| Base 3 | 220202022 |
| As time | 18044 seconds = 5 h 0 min 44 s |
Is 18044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18044 ÷ 2 = 9022) | 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 (18044 ÷ 4 = 4511) | 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 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 4) | 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 4) | 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 18044 a prime number?
No. 18044 = × 13 × 347, so it is divisible by 2.
What are the factors of 18044?
1, 2, 4, 13, 26, 52, 347, 694, 1388, 4511, 9022, 18044.
What is 18044 in binary?
100011001111100 (hexadecimal 467C, octal 43174).
What is the square root of 18044?
About 134.3280, exactly 2√4511.
Is 18044 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 18044?
18044 is a happy number: repeatedly adding the squares of its digits reaches 1.