The number 54448
54448 is a composite number with 20 divisors. Its prime factorisation is × 41 × 83. Divisors (20): 1, 2, 4, 8, 16, 41, 82, 83, 164, 166, 328, 332, 656, 664, 1328, 3403 … 54448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54448 is composite. Its prime factorisation is
- 3
The divisors add up to 109368; without 54448 itself that is 54920, so 54448 is abundant (54920 is more than 54448). Euler's totient φ(54448) = 26240 numbers up to 54448 share no factor with it.
- 4
The digits of 54448 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54448 = 2^{4} \times 41 \times 83 \]54448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 109368 |
| Euler totient φ(n) | 26240 |
| Square | 2964584704 |
| Cube | 161415707963392 |
| Square root | 233.340952 (= 4√3403) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.4448 × |
54448 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and forty-eight |
| Binary (base 2) | 1101010010110000 |
| Octal (base 8) | 152260 |
| Hexadecimal (base 16) | D4B0 |
| Base 3 | 2202200121 |
| As time | 54448 seconds = 15 h 7 min 28 s |
Is 54448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54448 ÷ 2 = 27224) | 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 (54448 ÷ 4 = 13612) | 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 2) | 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 (54448 ÷ 8 = 6806) | 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 9) | 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 54448 a prime number?
No. 54448 = × 41 × 83, so it is divisible by 2.
What are the factors of 54448?
1, 2, 4, 8, 16, 41, 82, 83, 164, 166, 328, 332, 656, 664, 1328, 3403, 6806, 13612, 27224, 54448.
What is 54448 in binary?
1101010010110000 (hexadecimal D4B0, octal 152260).
What is the square root of 54448?
About 233.3410, exactly 4√3403.
Is 54448 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 54448?
It is a composite number with 20 divisors.