The number 58084
58084 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1117. Divisors (12): 1, 2, 4, 13, 26, 52, 1117, 2234, 4468, 14521, 29042, 58084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58084 is composite. Its prime factorisation is
- 3
The divisors add up to 109564; without 58084 itself that is 51480, so 58084 is deficient (51480 is less than 58084). Euler's totient φ(58084) = 26784 numbers up to 58084 share no factor with it.
- 4
The digits of 58084 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58084 = 2^{2} \times 13 \times 1117 \]58084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109564 |
| Euler totient φ(n) | 26784 |
| Square | 3373751056 |
| Cube | 195960956336704 |
| Square root | 241.006224 (= 2√14521) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8084 × |
58084 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and eighty-four |
| Binary (base 2) | 1110001011100100 |
| Octal (base 8) | 161344 |
| Hexadecimal (base 16) | E2E4 |
| Base 3 | 2221200021 |
| As time | 58084 seconds = 16 h 8 min 4 s |
Is 58084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58084 ÷ 2 = 29042) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58084 ÷ 4 = 14521) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58084 a prime number?
No. 58084 = × 13 × 1117, so it is divisible by 2.
What are the factors of 58084?
1, 2, 4, 13, 26, 52, 1117, 2234, 4468, 14521, 29042, 58084.
What is 58084 in binary?
1110001011100100 (hexadecimal E2E4, octal 161344).
What is the square root of 58084?
About 241.0062, exactly 2√14521.
Is 58084 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 58084?
It is a composite number with 12 divisors.