The number 18448
18448 is a composite number with 10 divisors. Its prime factorisation is × 1153. Divisors (10): 1, 2, 4, 8, 16, 1153, 2306, 4612, 9224, 18448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18448 is composite. Its prime factorisation is
- 3
The divisors add up to 35774; without 18448 itself that is 17326, so 18448 is deficient (17326 is less than 18448). Euler's totient φ(18448) = 9216 numbers up to 18448 share no factor with it.
- 4
The digits of 18448 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18448 = 2^{4} \times 1153 \]18448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 35774 |
| Euler totient φ(n) | 9216 |
| Square | 340328704 |
| Cube | 6278383931392 |
| Square root | 135.823415 (= 4√1153) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8448 × |
18448 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and forty-eight |
| Binary (base 2) | 100100000010000 |
| Octal (base 8) | 44020 |
| Hexadecimal (base 16) | 4810 |
| Base 3 | 221022021 |
| As time | 18448 seconds = 5 h 7 min 28 s |
Is 18448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18448 ÷ 2 = 9224) | 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 (18448 ÷ 4 = 4612) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (18448 ÷ 8 = 2306) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 18448 a prime number?
No. 18448 = × 1153, so it is divisible by 2.
What are the factors of 18448?
1, 2, 4, 8, 16, 1153, 2306, 4612, 9224, 18448.
What is 18448 in binary?
100100000010000 (hexadecimal 4810, octal 44020).
What is the square root of 18448?
About 135.8234, exactly 4√1153.
Is 18448 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 18448?
It is a composite number with 10 divisors.