The number 5835
5835 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 389. Divisors (8): 1, 3, 5, 15, 389, 1167, 1945, 5835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5835 is composite. Its prime factorisation is
- 3
The divisors add up to 9360; without 5835 itself that is 3525, so 5835 is deficient (3525 is less than 5835). Euler's totient φ(5835) = 3104 numbers up to 5835 share no factor with it.
- 4
The digits of 5835 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5835 = 3 \times 5 \times 389 \]
5835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9360 |
| Euler totient φ(n) | 3104 |
| Square | 34047225 |
| Cube | 198665557875 |
| Square root | 76.387172 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.835 × |
5835 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and thirty-five |
| Binary (base 2) | 1011011001011 |
| Octal (base 8) | 13313 |
| Hexadecimal (base 16) | 16CB |
| Base 3 | 22000010 |
| As time | 5835 seconds = 1 h 37 min 15 s |
Is 5835 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5835 ÷ 3 = 1945) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5835 ÷ 5 = 1167) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5835 a prime number?
No. 5835 = 3 × 5 × 389, so it is divisible by 3.
What are the factors of 5835?
1, 3, 5, 15, 389, 1167, 1945, 5835.
What is 5835 in binary?
1011011001011 (hexadecimal 16CB, octal 13313).
What is the square root of 5835?
About 76.3872.
Is 5835 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5835?
It is a composite number with 8 divisors.