The number 58088
58088 is a composite number with 16 divisors. Its prime factorisation is × 53 × 137. Divisors (16): 1, 2, 4, 8, 53, 106, 137, 212, 274, 424, 548, 1096, 7261, 14522, 29044, 58088.
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How to work it out
- 1
58088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58088 is composite. Its prime factorisation is
- 3
The divisors add up to 111780; without 58088 itself that is 53692, so 58088 is deficient (53692 is less than 58088). Euler's totient φ(58088) = 28288 numbers up to 58088 share no factor with it.
- 4
The digits of 58088 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58088 = 2^{3} \times 53 \times 137 \]58088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 111780 |
| Euler totient φ(n) | 28288 |
| Square | 3374215744 |
| Cube | 196001444137472 |
| Square root | 241.014522 (= 2√14522) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.8088 × |
58088 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and eighty-eight |
| Binary (base 2) | 1110001011101000 |
| Octal (base 8) | 161350 |
| Hexadecimal (base 16) | E2E8 |
| Base 3 | 2221200102 |
| As time | 58088 seconds = 16 h 8 min 8 s |
Is 58088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58088 ÷ 2 = 29044) | 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 | Yes (58088 ÷ 4 = 14522) | 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 | No (remainder 2) | 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 | Yes (58088 ÷ 8 = 7261) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58088 a prime number?
No. 58088 = × 53 × 137, so it is divisible by 2.
What are the factors of 58088?
1, 2, 4, 8, 53, 106, 137, 212, 274, 424, 548, 1096, 7261, 14522, 29044, 58088.
What is 58088 in binary?
1110001011101000 (hexadecimal E2E8, octal 161350).
What is the square root of 58088?
About 241.0145, exactly 2√14522.
Is 58088 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 58088?
It is a composite number with 16 divisors.