The number 18824
18824 is a composite number with 16 divisors. Its prime factorisation is × 13 × 181. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 181, 362, 724, 1448, 2353, 4706, 9412, 18824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18824 is composite. Its prime factorisation is
- 3
The divisors add up to 38220; without 18824 itself that is 19396, so 18824 is abundant (19396 is more than 18824). Euler's totient φ(18824) = 8640 numbers up to 18824 share no factor with it.
- 4
The digits of 18824 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18824 = 2^{3} \times 13 \times 181 \]18824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38220 |
| Euler totient φ(n) | 8640 |
| Square | 354342976 |
| Cube | 6670152180224 |
| Square root | 137.200583 (= 2√4706) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.8824 × |
18824 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand eight hundred and twenty-four |
| Binary (base 2) | 100100110001000 |
| Octal (base 8) | 44610 |
| Hexadecimal (base 16) | 4988 |
| Base 3 | 221211012 |
| As time | 18824 seconds = 5 h 13 min 44 s |
Is 18824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18824 ÷ 2 = 9412) | 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 (18824 ÷ 4 = 4706) | 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 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 | Yes (18824 ÷ 8 = 2353) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 18824 a prime number?
No. 18824 = × 13 × 181, so it is divisible by 2.
What are the factors of 18824?
1, 2, 4, 8, 13, 26, 52, 104, 181, 362, 724, 1448, 2353, 4706, 9412, 18824.
What is 18824 in binary?
100100110001000 (hexadecimal 4988, octal 44610).
What is the square root of 18824?
About 137.2006, exactly 2√4706.
Is 18824 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 18824?
It is a composite number with 16 divisors.