The number 5832
5832 is a perfect cube (). Its prime factorisation is × . Divisors (28): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108 … 5832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5832: a perfect cube (); a Harshad number: divisible by its digit sum 18.
- 2
5832 is composite. Its prime factorisation is
- 3
The divisors add up to 16395; without 5832 itself that is 10563, so 5832 is abundant (10563 is more than 5832). Euler's totient φ(5832) = 1944 numbers up to 5832 share no factor with it.
- 4
The digits of 5832 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5832 = 2^{3} \times 3^{6} \]5832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 16395 |
| Euler totient φ(n) | 1944 |
| Square | 34012224 |
| Cube | 198359290368 |
| Square root | 76.367532 (= 54√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.832 × |
| Perfect power |
5832 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and thirty-two |
| Binary (base 2) | 1011011001000 |
| Octal (base 8) | 13310 |
| Hexadecimal (base 16) | 16C8 |
| Base 3 | 22000000 |
| As time | 5832 seconds = 1 h 37 min 12 s |
Is 5832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5832 ÷ 2 = 2916) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5832 ÷ 3 = 1944) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5832 ÷ 4 = 1458) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5832 ÷ 6 = 972) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (5832 ÷ 8 = 729) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5832 ÷ 9 = 648) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5832 ÷ 12 = 486) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5832 a prime number?
No. 5832 = × , so it is divisible by 2.
What are the factors of 5832?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832.
What is 5832 in binary?
1011011001000 (hexadecimal 16C8, octal 13310).
What is the square root of 5832?
About 76.3675, exactly 54√2.
Is 5832 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5832?
5832 is a perfect cube (); a Harshad number: divisible by its digit sum 18.