The number 58058
58058 is a composite number with 32 divisors. Its prime factorisation is 2 × 7 × 11 × 13 × 29. Divisors (32): 1, 2, 7, 11, 13, 14, 22, 26, 29, 58, 77, 91, 143, 154, 182, 203 … 58058.
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How to work it out
- 1
What is special about 58058: a Harshad number: divisible by its digit sum 26.
- 2
58058 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 58058 itself that is 62902, so 58058 is abundant (62902 is more than 58058). Euler's totient φ(58058) = 20160 numbers up to 58058 share no factor with it.
- 4
The digits of 58058 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58058 = 2 \times 7 \times 11 \times 13 \times 29 \]
58058 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 20160 |
| Square | 3370731364 |
| Cube | 195697921531112 |
| Square root | 240.952277 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8058 × |
58058 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and fifty-eight |
| Binary (base 2) | 1110001011001010 |
| Octal (base 8) | 161312 |
| Hexadecimal (base 16) | E2CA |
| Base 3 | 2221122022 |
| As time | 58058 seconds = 16 h 7 min 38 s |
Is 58058 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58058 ÷ 2 = 29029) | 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 | No (remainder 2) | 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 | Yes (58058 ÷ 7 = 8294) | 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 | No (remainder 8) | 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 (58058 ÷ 11 = 5278) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58058 a prime number?
No. 58058 = 2 × 7 × 11 × 13 × 29, so it is divisible by 2.
What are the factors of 58058?
1, 2, 7, 11, 13, 14, 22, 26, 29, 58, 77, 91, 143, 154, 182, 203, 286, 319, 377, 406, 638, 754, 1001, 2002, 2233, 2639, 4147, 4466, 5278, 8294, 29029, 58058.
What is 58058 in binary?
1110001011001010 (hexadecimal E2CA, octal 161312).
What is the square root of 58058?
About 240.9523.
Is 58058 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 58058?
58058 is a Harshad number: divisible by its digit sum 26.