The number 18424
18424 is a composite number with 24 divisors. Its prime factorisation is × × 47. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 47, 49, 56, 94, 98, 188, 196, 329, 376 … 18424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18424 is composite. Its prime factorisation is
- 3
The divisors add up to 41040; without 18424 itself that is 22616, so 18424 is abundant (22616 is more than 18424). Euler's totient φ(18424) = 7728 numbers up to 18424 share no factor with it.
- 4
The digits of 18424 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18424 = 2^{3} \times 7^{2} \times 47 \]18424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 41040 |
| Euler totient φ(n) | 7728 |
| Square | 339443776 |
| Cube | 6253912129024 |
| Square root | 135.735036 (= 14√94) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8424 × |
18424 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and twenty-four |
| Binary (base 2) | 100011111111000 |
| Octal (base 8) | 43770 |
| Hexadecimal (base 16) | 47F8 |
| Base 3 | 221021101 |
| As time | 18424 seconds = 5 h 7 min 4 s |
Is 18424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18424 ÷ 2 = 9212) | 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 (18424 ÷ 4 = 4606) | 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 | Yes (18424 ÷ 7 = 2632) | 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 (18424 ÷ 8 = 2303) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | 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 18424 a prime number?
No. 18424 = × × 47, so it is divisible by 2.
What are the factors of 18424?
1, 2, 4, 7, 8, 14, 28, 47, 49, 56, 94, 98, 188, 196, 329, 376, 392, 658, 1316, 2303, 2632, 4606, 9212, 18424.
What is 18424 in binary?
100011111111000 (hexadecimal 47F8, octal 43770).
What is the square root of 18424?
About 135.7350, exactly 14√94.
Is 18424 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 18424?
It is a composite number with 24 divisors.