The number 58355
58355 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 1061. Divisors (8): 1, 5, 11, 55, 1061, 5305, 11671, 58355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58355 is composite. Its prime factorisation is
- 3
The divisors add up to 76464; without 58355 itself that is 18109, so 58355 is deficient (18109 is less than 58355). Euler's totient φ(58355) = 42400 numbers up to 58355 share no factor with it.
- 4
The digits of 58355 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58355 = 5 \times 11 \times 1061 \]
58355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76464 |
| Euler totient φ(n) | 42400 |
| Square | 3405306025 |
| Cube | 198716633088875 |
| Square root | 241.567796 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8355 × |
58355 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and fifty-five |
| Binary (base 2) | 1110001111110011 |
| Octal (base 8) | 161763 |
| Hexadecimal (base 16) | E3F3 |
| Base 3 | 2222001022 |
| As time | 58355 seconds = 16 h 12 min 35 s |
Is 58355 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58355 ÷ 5 = 11671) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 (58355 ÷ 11 = 5305) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58355 a prime number?
No. 58355 = 5 × 11 × 1061, so it is divisible by 5.
What are the factors of 58355?
1, 5, 11, 55, 1061, 5305, 11671, 58355.
What is 58355 in binary?
1110001111110011 (hexadecimal E3F3, octal 161763).
What is the square root of 58355?
About 241.5678.
Is 58355 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 58355?
It is a composite number with 8 divisors.