The number 58331
58331 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 641. Divisors (8): 1, 7, 13, 91, 641, 4487, 8333, 58331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58331 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58331 is composite. Its prime factorisation is
- 3
The divisors add up to 71904; without 58331 itself that is 13573, so 58331 is deficient (13573 is less than 58331). Euler's totient φ(58331) = 46080 numbers up to 58331 share no factor with it.
- 4
The digits of 58331 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58331 = 7 \times 13 \times 641 \]
58331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71904 |
| Euler totient φ(n) | 46080 |
| Square | 3402505561 |
| Cube | 198471551878691 |
| Square root | 241.518115 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.8331 × |
58331 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and thirty-one |
| Binary (base 2) | 1110001111011011 |
| Octal (base 8) | 161733 |
| Hexadecimal (base 16) | E3DB |
| Base 3 | 2222000102 |
| As time | 58331 seconds = 16 h 12 min 11 s |
Is 58331 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 | No (remainder 1) | 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 | Yes (58331 ÷ 7 = 8333) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 58331 a prime number?
No. 58331 = 7 × 13 × 641, so it is divisible by 7.
What are the factors of 58331?
1, 7, 13, 91, 641, 4487, 8333, 58331.
What is 58331 in binary?
1110001111011011 (hexadecimal E3DB, octal 161733).
What is the square root of 58331?
About 241.5181.
Is 58331 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 58331?
It is a composite number with 8 divisors.