The number 58842
58842 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 467. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 467, 934, 1401, 2802 … 58842.
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How to work it out
- 1
58842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58842 is composite. Its prime factorisation is
- 3
The divisors add up to 146016; without 58842 itself that is 87174, so 58842 is abundant (87174 is more than 58842). Euler's totient φ(58842) = 16776 numbers up to 58842 share no factor with it.
- 4
The digits of 58842 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
\[ 58842 = 2 \times 3^{2} \times 7 \times 467 \]58842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 146016 |
| Euler totient φ(n) | 16776 |
| Square | 3462380964 |
| Cube | 203733420683688 |
| Square root | 242.573700 (= 3√6538) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8842 × |
58842 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and forty-two |
| Binary (base 2) | 1110010111011010 |
| Octal (base 8) | 162732 |
| Hexadecimal (base 16) | E5DA |
| Base 3 | 2222201100 |
| As time | 58842 seconds = 16 h 20 min 42 s |
Is 58842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58842 ÷ 2 = 29421) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58842 ÷ 3 = 19614) | 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 (58842 ÷ 6 = 9807) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58842 ÷ 7 = 8406) | 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 (58842 ÷ 9 = 6538) | 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 3) | 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 58842 a prime number?
No. 58842 = 2 × × 7 × 467, so it is divisible by 2.
What are the factors of 58842?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 467, 934, 1401, 2802, 3269, 4203, 6538, 8406, 9807, 19614, 29421, 58842.
What is 58842 in binary?
1110010111011010 (hexadecimal E5DA, octal 162732).
What is the square root of 58842?
About 242.5737, exactly 3√6538.
Is 58842 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 58842?
It is a composite number with 24 divisors.