The number 58828
58828 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 191. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 191, 308, 382, 764, 1337 … 58828.
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How to work it out
- 1
58828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58828 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 58828 itself that is 70196, so 58828 is abundant (70196 is more than 58828). Euler's totient φ(58828) = 22800 numbers up to 58828 share no factor with it.
- 4
The digits of 58828 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58828 = 2^{2} \times 7 \times 11 \times 191 \]58828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 22800 |
| Square | 3460733584 |
| Cube | 203588035279552 |
| Square root | 242.544841 (= 2√14707) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8828 × |
58828 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and twenty-eight |
| Binary (base 2) | 1110010111001100 |
| Octal (base 8) | 162714 |
| Hexadecimal (base 16) | E5CC |
| Base 3 | 2222200211 |
| As time | 58828 seconds = 16 h 20 min 28 s |
Is 58828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58828 ÷ 2 = 29414) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58828 ÷ 4 = 14707) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58828 ÷ 7 = 8404) | 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 4) | 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 | Yes (58828 ÷ 11 = 5348) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58828 a prime number?
No. 58828 = × 7 × 11 × 191, so it is divisible by 2.
What are the factors of 58828?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 191, 308, 382, 764, 1337, 2101, 2674, 4202, 5348, 8404, 14707, 29414, 58828.
What is 58828 in binary?
1110010111001100 (hexadecimal E5CC, octal 162714).
What is the square root of 58828?
About 242.5448, exactly 2√14707.
Is 58828 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 58828?
It is a composite number with 24 divisors.