The number 5828
5828 is a composite number with 12 divisors. Its prime factorisation is × 31 × 47. Divisors (12): 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5828 is composite. Its prime factorisation is
- 3
The divisors add up to 10752; without 5828 itself that is 4924, so 5828 is deficient (4924 is less than 5828). Euler's totient φ(5828) = 2760 numbers up to 5828 share no factor with it.
- 4
The digits of 5828 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5828 = 2^{2} \times 31 \times 47 \]5828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10752 |
| Euler totient φ(n) | 2760 |
| Square | 33965584 |
| Cube | 197951423552 |
| Square root | 76.341339 (= 2√1457) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.828 × |
5828 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and twenty-eight |
| Binary (base 2) | 1011011000100 |
| Octal (base 8) | 13304 |
| Hexadecimal (base 16) | 16C4 |
| Base 3 | 21222212 |
| As time | 5828 seconds = 1 h 37 min 8 s |
Is 5828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5828 ÷ 2 = 2914) | 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 | Yes (5828 ÷ 4 = 1457) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5828 a prime number?
No. 5828 = × 31 × 47, so it is divisible by 2.
What are the factors of 5828?
1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828.
What is 5828 in binary?
1011011000100 (hexadecimal 16C4, octal 13304).
What is the square root of 5828?
About 76.3413, exactly 2√1457.
Is 5828 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 5828?
It is a composite number with 12 divisors.