The number 18848
18848 is a composite number with 24 divisors. Its prime factorisation is × 19 × 31. Divisors (24): 1, 2, 4, 8, 16, 19, 31, 32, 38, 62, 76, 124, 152, 248, 304, 496 … 18848.
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How to work it out
- 1
18848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18848 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 18848 itself that is 21472, so 18848 is abundant (21472 is more than 18848). Euler's totient φ(18848) = 8640 numbers up to 18848 share no factor with it.
- 4
The digits of 18848 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18848 = 2^{5} \times 19 \times 31 \]18848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 8640 |
| Square | 355247104 |
| Cube | 6695697416192 |
| Square root | 137.288018 (= 4√1178) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8848 × |
18848 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand eight hundred and forty-eight |
| Binary (base 2) | 100100110100000 |
| Octal (base 8) | 44640 |
| Hexadecimal (base 16) | 49A0 |
| Base 3 | 221212002 |
| As time | 18848 seconds = 5 h 14 min 8 s |
Is 18848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18848 ÷ 2 = 9424) | 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 (18848 ÷ 4 = 4712) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 (18848 ÷ 8 = 2356) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 18848 a prime number?
No. 18848 = × 19 × 31, so it is divisible by 2.
What are the factors of 18848?
1, 2, 4, 8, 16, 19, 31, 32, 38, 62, 76, 124, 152, 248, 304, 496, 589, 608, 992, 1178, 2356, 4712, 9424, 18848.
What is 18848 in binary?
100100110100000 (hexadecimal 49A0, octal 44640).
What is the square root of 18848?
About 137.2880, exactly 4√1178.
Is 18848 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 18848?
It is a composite number with 24 divisors.