The number 5848
5848 is a composite number with 16 divisors. Its prime factorisation is × 17 × 43. Divisors (16): 1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5848 is composite. Its prime factorisation is
- 3
The divisors add up to 11880; without 5848 itself that is 6032, so 5848 is abundant (6032 is more than 5848). Euler's totient φ(5848) = 2688 numbers up to 5848 share no factor with it.
- 4
The digits of 5848 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5848 = 2^{3} \times 17 \times 43 \]5848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11880 |
| Euler totient φ(n) | 2688 |
| Square | 34199104 |
| Cube | 199996360192 |
| Square root | 76.472217 (= 2√1462) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.848 × |
5848 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and forty-eight |
| Binary (base 2) | 1011011011000 |
| Octal (base 8) | 13330 |
| Hexadecimal (base 16) | 16D8 |
| Base 3 | 22000121 |
| As time | 5848 seconds = 1 h 37 min 28 s |
Is 5848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5848 ÷ 2 = 2924) | 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 (5848 ÷ 4 = 1462) | 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 (5848 ÷ 8 = 731) | 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 7) | 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 5848 a prime number?
No. 5848 = × 17 × 43, so it is divisible by 2.
What are the factors of 5848?
1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848.
What is 5848 in binary?
1011011011000 (hexadecimal 16D8, octal 13330).
What is the square root of 5848?
About 76.4722, exactly 2√1462.
Is 5848 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 5848?
It is a composite number with 16 divisors.