The number 58065
58065 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × × 79. Divisors (24): 1, 3, 5, 7, 15, 21, 35, 49, 79, 105, 147, 237, 245, 395, 553, 735 … 58065.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58065 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58065 is composite. Its prime factorisation is
- 3
The divisors add up to 109440; without 58065 itself that is 51375, so 58065 is deficient (51375 is less than 58065). Euler's totient φ(58065) = 26208 numbers up to 58065 share no factor with it.
- 4
The digits of 58065 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58065 = 3 \times 5 \times 7^{2} \times 79 \]58065 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 109440 |
| Euler totient φ(n) | 26208 |
| Square | 3371544225 |
| Cube | 195768715424625 |
| Square root | 240.966803 (= 7√1185) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8065 × |
58065 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and sixty-five |
| Binary (base 2) | 1110001011010001 |
| Octal (base 8) | 161321 |
| Hexadecimal (base 16) | E2D1 |
| Base 3 | 2221122120 |
| As time | 58065 seconds = 16 h 7 min 45 s |
Is 58065 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 | Yes (58065 ÷ 3 = 19355) | 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 (58065 ÷ 5 = 11613) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58065 ÷ 7 = 8295) | 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 6) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58065 a prime number?
No. 58065 = 3 × 5 × × 79, so it is divisible by 3.
What are the factors of 58065?
1, 3, 5, 7, 15, 21, 35, 49, 79, 105, 147, 237, 245, 395, 553, 735, 1185, 1659, 2765, 3871, 8295, 11613, 19355, 58065.
What is 58065 in binary?
1110001011010001 (hexadecimal E2D1, octal 161321).
What is the square root of 58065?
About 240.9668, exactly 7√1185.
Is 58065 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 58065?
It is a composite number with 24 divisors.