The number 5841
5841 is a composite number with 12 divisors. Its prime factorisation is × 11 × 59. Divisors (12): 1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5841 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5841 is composite. Its prime factorisation is
- 3
The divisors add up to 9360; without 5841 itself that is 3519, so 5841 is deficient (3519 is less than 5841). Euler's totient φ(5841) = 3480 numbers up to 5841 share no factor with it.
- 4
The digits of 5841 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5841 = 3^{2} \times 11 \times 59 \]5841 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9360 |
| Euler totient φ(n) | 3480 |
| Square | 34117281 |
| Cube | 199279038321 |
| Square root | 76.426435 (= 3√649) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.841 × |
5841 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and forty-one |
| Binary (base 2) | 1011011010001 |
| Octal (base 8) | 13321 |
| Hexadecimal (base 16) | 16D1 |
| Base 3 | 22000100 |
| As time | 5841 seconds = 1 h 37 min 21 s |
Is 5841 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 (5841 ÷ 3 = 1947) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5841 ÷ 9 = 649) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5841 ÷ 11 = 531) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5841 a prime number?
No. 5841 = × 11 × 59, so it is divisible by 3.
What are the factors of 5841?
1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841.
What is 5841 in binary?
1011011010001 (hexadecimal 16D1, octal 13321).
What is the square root of 5841?
About 76.4264, exactly 3√649.
Is 5841 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5841?
It is a composite number with 12 divisors.