The number 54848
54848 is a composite number with 14 divisors. Its prime factorisation is × 857. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 857, 1714, 3428, 6856, 13712, 27424, 54848.
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How to work it out
- 1
54848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54848 is composite. Its prime factorisation is
- 3
The divisors add up to 108966; without 54848 itself that is 54118, so 54848 is deficient (54118 is less than 54848). Euler's totient φ(54848) = 27392 numbers up to 54848 share no factor with it.
- 4
The digits of 54848 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54848 = 2^{6} \times 857 \]54848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 108966 |
| Euler totient φ(n) | 27392 |
| Square | 3008303104 |
| Cube | 164999408648192 |
| Square root | 234.196499 (= 8√857) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.4848 × |
54848 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred and forty-eight |
| Binary (base 2) | 1101011001000000 |
| Octal (base 8) | 153100 |
| Hexadecimal (base 16) | D640 |
| Base 3 | 2210020102 |
| As time | 54848 seconds = 15 h 14 min 8 s |
Is 54848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54848 ÷ 2 = 27424) | 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 (54848 ÷ 4 = 13712) | 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 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 (54848 ÷ 8 = 6856) | 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 2) | 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 54848 a prime number?
No. 54848 = × 857, so it is divisible by 2.
What are the factors of 54848?
1, 2, 4, 8, 16, 32, 64, 857, 1714, 3428, 6856, 13712, 27424, 54848.
What is 54848 in binary?
1101011001000000 (hexadecimal D640, octal 153100).
What is the square root of 54848?
About 234.1965, exactly 8√857.
Is 54848 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 54848?
It is a composite number with 14 divisors.