The number 58000
58000 is a composite number with 40 divisors. Its prime factorisation is × × 29. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 40, 50, 58, 80, 100, 116 … 58000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58000 is composite. Its prime factorisation is
- 3
The divisors add up to 145080; without 58000 itself that is 87080, so 58000 is abundant (87080 is more than 58000). Euler's totient φ(58000) = 22400 numbers up to 58000 share no factor with it.
- 4
The digits of 58000 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58000 = 2^{4} \times 5^{3} \times 29 \]58000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 145080 |
| Euler totient φ(n) | 22400 |
| Square | 3364000000 |
| Cube | 195112000000000 |
| Square root | 240.831892 (= 20√145) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8 × |
58000 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand |
| Binary (base 2) | 1110001010010000 |
| Octal (base 8) | 161220 |
| Hexadecimal (base 16) | E290 |
| Base 3 | 2221120011 |
| As time | 58000 seconds = 16 h 6 min 40 s |
Is 58000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58000 ÷ 2 = 29000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58000 ÷ 4 = 14500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58000 ÷ 5 = 11600) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (58000 ÷ 8 = 7250) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58000 ÷ 10 = 5800) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58000 a prime number?
No. 58000 = × × 29, so it is divisible by 2.
What are the factors of 58000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 40, 50, 58, 80, 100, 116, 125, 145, 200, 232, 250, 290, 400, 464, 500, 580, 725, 1000, 1160, 1450, 2000, 2320, 2900, 3625, 5800, 7250, 11600, 14500, 29000, 58000.
What is 58000 in binary?
1110001010010000 (hexadecimal E290, octal 161220).
What is the square root of 58000?
About 240.8319, exactly 20√145.
Is 58000 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 58000?
It is a composite number with 40 divisors.