The number 53848
53848 is a composite number with 16 divisors. Its prime factorisation is × 53 × 127. Divisors (16): 1, 2, 4, 8, 53, 106, 127, 212, 254, 424, 508, 1016, 6731, 13462, 26924, 53848.
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How to work it out
- 1
53848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53848 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 53848 itself that is 49832, so 53848 is deficient (49832 is less than 53848). Euler's totient φ(53848) = 26208 numbers up to 53848 share no factor with it.
- 4
The digits of 53848 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53848 = 2^{3} \times 53 \times 127 \]53848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 26208 |
| Square | 2899607104 |
| Cube | 156138043336192 |
| Square root | 232.051718 (= 2√13462) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3848 × |
53848 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and forty-eight |
| Binary (base 2) | 1101001001011000 |
| Octal (base 8) | 151130 |
| Hexadecimal (base 16) | D258 |
| Base 3 | 2201212101 |
| As time | 53848 seconds = 14 h 57 min 28 s |
Is 53848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53848 ÷ 2 = 26924) | 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 (53848 ÷ 4 = 13462) | 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 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 (53848 ÷ 8 = 6731) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | 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 53848 a prime number?
No. 53848 = × 53 × 127, so it is divisible by 2.
What are the factors of 53848?
1, 2, 4, 8, 53, 106, 127, 212, 254, 424, 508, 1016, 6731, 13462, 26924, 53848.
What is 53848 in binary?
1101001001011000 (hexadecimal D258, octal 151130).
What is the square root of 53848?
About 232.0517, exactly 2√13462.
Is 53848 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 53848?
It is a composite number with 16 divisors.