The number 58025
58025 is a composite number with 12 divisors. Its prime factorisation is × 11 × 211. Divisors (12): 1, 5, 11, 25, 55, 211, 275, 1055, 2321, 5275, 11605, 58025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58025 is composite. Its prime factorisation is
- 3
The divisors add up to 78864; without 58025 itself that is 20839, so 58025 is deficient (20839 is less than 58025). Euler's totient φ(58025) = 42000 numbers up to 58025 share no factor with it.
- 4
The digits of 58025 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58025 = 5^{2} \times 11 \times 211 \]58025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78864 |
| Euler totient φ(n) | 42000 |
| Square | 3366900625 |
| Cube | 195364408765625 |
| Square root | 240.883789 (= 5√2321) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8025 × |
58025 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and twenty-five |
| Binary (base 2) | 1110001010101001 |
| Octal (base 8) | 161251 |
| Hexadecimal (base 16) | E2A9 |
| Base 3 | 2221121002 |
| As time | 58025 seconds = 16 h 7 min 5 s |
Is 58025 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58025 ÷ 5 = 11605) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (58025 ÷ 11 = 5275) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58025 a prime number?
No. 58025 = × 11 × 211, so it is divisible by 5.
What are the factors of 58025?
1, 5, 11, 25, 55, 211, 275, 1055, 2321, 5275, 11605, 58025.
What is 58025 in binary?
1110001010101001 (hexadecimal E2A9, octal 161251).
What is the square root of 58025?
About 240.8838, exactly 5√2321.
Is 58025 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 58025?
It is a composite number with 12 divisors.