The number 18124
18124 is a composite number with 12 divisors. Its prime factorisation is × 23 × 197. Divisors (12): 1, 2, 4, 23, 46, 92, 197, 394, 788, 4531, 9062, 18124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18124: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18124 is composite. Its prime factorisation is
- 3
The divisors add up to 33264; without 18124 itself that is 15140, so 18124 is deficient (15140 is less than 18124). Euler's totient φ(18124) = 8624 numbers up to 18124 share no factor with it.
- 4
The digits of 18124 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18124 = 2^{2} \times 23 \times 197 \]18124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33264 |
| Euler totient φ(n) | 8624 |
| Square | 328479376 |
| Cube | 5953360210624 |
| Square root | 134.625406 (= 2√4531) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.8124 × |
18124 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and twenty-four |
| Binary (base 2) | 100011011001100 |
| Octal (base 8) | 43314 |
| Hexadecimal (base 16) | 46CC |
| Base 3 | 220212021 |
| As time | 18124 seconds = 5 h 2 min 4 s |
Is 18124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18124 ÷ 2 = 9062) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18124 ÷ 4 = 4531) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18124 a prime number?
No. 18124 = × 23 × 197, so it is divisible by 2.
What are the factors of 18124?
1, 2, 4, 23, 46, 92, 197, 394, 788, 4531, 9062, 18124.
What is 18124 in binary?
100011011001100 (hexadecimal 46CC, octal 43314).
What is the square root of 18124?
About 134.6254, exactly 2√4531.
Is 18124 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18124?
18124 is a happy number: repeatedly adding the squares of its digits reaches 1.