The number 58542
58542 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 887. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 887, 1774, 2661, 5322, 9757, 19514, 29271, 58542.
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How to work it out
- 1
58542 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58542 is composite. Its prime factorisation is
- 3
The divisors add up to 127872; without 58542 itself that is 69330, so 58542 is abundant (69330 is more than 58542). Euler's totient φ(58542) = 17720 numbers up to 58542 share no factor with it.
- 4
The digits of 58542 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58542 = 2 \times 3 \times 11 \times 887 \]
58542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 127872 |
| Euler totient φ(n) | 17720 |
| Square | 3427165764 |
| Cube | 200633138156088 |
| Square root | 241.954541 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8542 × |
58542 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand five hundred and forty-two |
| Binary (base 2) | 1110010010101110 |
| Octal (base 8) | 162256 |
| Hexadecimal (base 16) | E4AE |
| Base 3 | 2222022020 |
| As time | 58542 seconds = 16 h 15 min 42 s |
Is 58542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58542 ÷ 2 = 29271) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58542 ÷ 3 = 19514) | 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 (58542 ÷ 6 = 9757) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (58542 ÷ 11 = 5322) | 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 58542 a prime number?
No. 58542 = 2 × 3 × 11 × 887, so it is divisible by 2.
What are the factors of 58542?
1, 2, 3, 6, 11, 22, 33, 66, 887, 1774, 2661, 5322, 9757, 19514, 29271, 58542.
What is 58542 in binary?
1110010010101110 (hexadecimal E4AE, octal 162256).
What is the square root of 58542?
About 241.9545.
Is 58542 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 58542?
It is a composite number with 16 divisors.