The number 58359
58359 is a composite number with 12 divisors. Its prime factorisation is 3 × × 397. Divisors (12): 1, 3, 7, 21, 49, 147, 397, 1191, 2779, 8337, 19453, 58359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58359 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58359 is composite. Its prime factorisation is
- 3
The divisors add up to 90744; without 58359 itself that is 32385, so 58359 is deficient (32385 is less than 58359). Euler's totient φ(58359) = 33264 numbers up to 58359 share no factor with it.
- 4
The digits of 58359 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58359 = 3 \times 7^{2} \times 397 \]58359 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 90744 |
| Euler totient φ(n) | 33264 |
| Square | 3405772881 |
| Cube | 198757499562279 |
| Square root | 241.576075 (= 7√1191) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8359 × |
58359 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and fifty-nine |
| Binary (base 2) | 1110001111110111 |
| Octal (base 8) | 161767 |
| Hexadecimal (base 16) | E3F7 |
| Base 3 | 2222001110 |
| As time | 58359 seconds = 16 h 12 min 39 s |
Is 58359 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 (58359 ÷ 3 = 19453) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (58359 ÷ 7 = 8337) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58359 a prime number?
No. 58359 = 3 × × 397, so it is divisible by 3.
What are the factors of 58359?
1, 3, 7, 21, 49, 147, 397, 1191, 2779, 8337, 19453, 58359.
What is 58359 in binary?
1110001111110111 (hexadecimal E3F7, octal 161767).
What is the square root of 58359?
About 241.5761, exactly 7√1191.
Is 58359 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 58359?
It is a composite number with 12 divisors.