The number 58050
58050 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 43. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 43, 45, 50, 54 … 58050.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58050: a Harshad number: divisible by its digit sum 18.
- 2
58050 is composite. Its prime factorisation is
- 3
The divisors add up to 163680; without 58050 itself that is 105630, so 58050 is abundant (105630 is more than 58050). Euler's totient φ(58050) = 15120 numbers up to 58050 share no factor with it.
- 4
The digits of 58050 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58050 = 2 \times 3^{3} \times 5^{2} \times 43 \]58050 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 163680 |
| Euler totient φ(n) | 15120 |
| Square | 3369802500 |
| Cube | 195617035125000 |
| Square root | 240.935676 (= 15√258) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.805 × |
58050 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and fifty |
| Binary (base 2) | 1110001011000010 |
| Octal (base 8) | 161302 |
| Hexadecimal (base 16) | E2C2 |
| Base 3 | 2221122000 |
| As time | 58050 seconds = 16 h 7 min 30 s |
Is 58050 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58050 ÷ 2 = 29025) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58050 ÷ 3 = 19350) | 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 | Yes (58050 ÷ 5 = 11610) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58050 ÷ 6 = 9675) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (58050 ÷ 9 = 6450) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58050 ÷ 10 = 5805) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 58050 a prime number?
No. 58050 = 2 × × × 43, so it is divisible by 2.
What are the factors of 58050?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 43, 45, 50, 54, 75, 86, 90, 129, 135, 150, 215, 225, 258, 270, 387, 430, 450, 645, 675, 774, 1075, 1161, 1290, 1350, 1935, 2150, 2322, 3225, 3870, 5805, 6450, 9675, 11610, 19350, 29025, 58050.
What is 58050 in binary?
1110001011000010 (hexadecimal E2C2, octal 161302).
What is the square root of 58050?
About 240.9357, exactly 15√258.
Is 58050 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 58050?
58050 is a Harshad number: divisible by its digit sum 18.