The number 58482
58482 is a composite number with 30 divisors. Its prime factorisation is 2 × × . Divisors (30): 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342 … 58482.
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How to work it out
- 1
What is special about 58482: a Harshad number: divisible by its digit sum 27.
- 2
58482 is composite. Its prime factorisation is
- 3
The divisors add up to 138303; without 58482 itself that is 79821, so 58482 is abundant (79821 is more than 58482). Euler's totient φ(58482) = 18468 numbers up to 58482 share no factor with it.
- 4
The digits of 58482 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58482 = 2 \times 3^{4} \times 19^{2} \]58482 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 138303 |
| Euler totient φ(n) | 18468 |
| Square | 3420144324 |
| Cube | 200016880356168 |
| Square root | 241.830519 (= 171√2) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8482 × |
58482 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and eighty-two |
| Binary (base 2) | 1110010001110010 |
| Octal (base 8) | 162162 |
| Hexadecimal (base 16) | E472 |
| Base 3 | 2222020000 |
| As time | 58482 seconds = 16 h 14 min 42 s |
Is 58482 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58482 ÷ 2 = 29241) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58482 ÷ 3 = 19494) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (58482 ÷ 6 = 9747) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58482 ÷ 9 = 6498) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58482 a prime number?
No. 58482 = 2 × × , so it is divisible by 2.
What are the factors of 58482?
1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 361, 513, 722, 1026, 1083, 1539, 2166, 3078, 3249, 6498, 9747, 19494, 29241, 58482.
What is 58482 in binary?
1110010001110010 (hexadecimal E472, octal 162162).
What is the square root of 58482?
About 241.8305, exactly 171√2.
Is 58482 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 58482?
58482 is a Harshad number: divisible by its digit sum 27.