The number 5831
5831 is a composite number with 8 divisors. Its prime factorisation is Ć 17. Divisors (8): 1, 7, 17, 49, 119, 343, 833, 5831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5831: a Harshad number: divisible by its digit sum 17.
- 2
5831 is composite. Its prime factorisation is
- 3
The divisors add up to 7200; without 5831 itself that is 1369, so 5831 is deficient (1369 is less than 5831). Euler's totient Ļ(5831) = 4704 numbers up to 5831 share no factor with it.
- 4
The digits of 5831 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5831 = 7^{3} \times 17 \]5831 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7200 |
| Euler totient Ļ(n) | 4704 |
| Square | 34000561 |
| Cube | 198257271191 |
| Square root | 76.360985 (= 7ā119) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.831 Ć |
5831 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and thirty-one |
| Binary (base 2) | 1011011000111 |
| Octal (base 8) | 13307 |
| Hexadecimal (base 16) | 16C7 |
| Base 3 | 21222222 |
| As time | 5831 seconds = 1 h 37 min 11 s |
Is 5831 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 | No (remainder 2) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5831 Ć· 7 = 833) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5831 a prime number?
No. 5831 = Ć 17, so it is divisible by 7.
What are the factors of 5831?
1, 7, 17, 49, 119, 343, 833, 5831.
What is 5831 in binary?
1011011000111 (hexadecimal 16C7, octal 13307).
What is the square root of 5831?
About 76.3610, exactly 7ā119.
Is 5831 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5831?
5831 is a Harshad number: divisible by its digit sum 17.