The number 58200
58200 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 97. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 58200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58200: a Harshad number: divisible by its digit sum 15.
- 2
58200 is composite. Its prime factorisation is
- 3
The divisors add up to 182280; without 58200 itself that is 124080, so 58200 is abundant (124080 is more than 58200). Euler's totient φ(58200) = 15360 numbers up to 58200 share no factor with it.
- 4
The digits of 58200 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58200 = 2^{3} \times 3 \times 5^{2} \times 97 \]58200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 182280 |
| Euler totient φ(n) | 15360 |
| Square | 3387240000 |
| Cube | 197137368000000 |
| Square root | 241.246762 (= 10√582) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.82 × |
58200 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred |
| Binary (base 2) | 1110001101011000 |
| Octal (base 8) | 161530 |
| Hexadecimal (base 16) | E358 |
| Base 3 | 2221211120 |
| As time | 58200 seconds = 16 h 10 min 0 s |
Is 58200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58200 ÷ 2 = 29100) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58200 ÷ 3 = 19400) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58200 ÷ 4 = 14550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58200 ÷ 5 = 11640) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58200 ÷ 6 = 9700) | 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 (58200 ÷ 8 = 7275) | 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 | Yes (58200 ÷ 10 = 5820) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58200 ÷ 12 = 4850) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58200 a prime number?
No. 58200 = × 3 × × 97, so it is divisible by 2.
What are the factors of 58200?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 97, 100, 120, 150, 194, 200, 291, 300, 388, 485, 582, 600, 776, 970, 1164, 1455, 1940, 2328, 2425, 2910, 3880, 4850, 5820, 7275, 9700, 11640, 14550, 19400, 29100, 58200.
What is 58200 in binary?
1110001101011000 (hexadecimal E358, octal 161530).
What is the square root of 58200?
About 241.2468, exactly 10√582.
Is 58200 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 58200?
58200 is a Harshad number: divisible by its digit sum 15.