The number 5838
5838 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 139. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5838 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5838 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 5838 itself that is 7602, so 5838 is abundant (7602 is more than 5838). Euler's totient φ(5838) = 1656 numbers up to 5838 share no factor with it.
- 4
The digits of 5838 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 217 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5838 = 2 \times 3 \times 7 \times 139 \]
5838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 1656 |
| Square | 34082244 |
| Cube | 198972140472 |
| Square root | 76.406806 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 217 |
| Scientific notation | 5.838 × |
5838 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and thirty-eight |
| Binary (base 2) | 1011011001110 |
| Octal (base 8) | 13316 |
| Hexadecimal (base 16) | 16CE |
| Base 3 | 22000020 |
| As time | 5838 seconds = 1 h 37 min 18 s |
Is 5838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5838 ÷ 2 = 2919) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5838 ÷ 3 = 1946) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (5838 ÷ 6 = 973) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5838 ÷ 7 = 834) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5838 a prime number?
No. 5838 = 2 × 3 × 7 × 139, so it is divisible by 2.
What are the factors of 5838?
1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838.
What is 5838 in binary?
1011011001110 (hexadecimal 16CE, octal 13316).
What is the square root of 5838?
About 76.4068.
Is 5838 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5838?
It is a composite number with 16 divisors.