The number 58384
58384 is a composite number with 20 divisors. Its prime factorisation is × 41 × 89. Divisors (20): 1, 2, 4, 8, 16, 41, 82, 89, 164, 178, 328, 356, 656, 712, 1424, 3649 … 58384.
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How to work it out
- 1
58384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58384 is composite. Its prime factorisation is
- 3
The divisors add up to 117180; without 58384 itself that is 58796, so 58384 is abundant (58796 is more than 58384). Euler's totient φ(58384) = 28160 numbers up to 58384 share no factor with it.
- 4
The digits of 58384 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58384 = 2^{4} \times 41 \times 89 \]58384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 117180 |
| Euler totient φ(n) | 28160 |
| Square | 3408691456 |
| Cube | 199013041967104 |
| Square root | 241.627813 (= 4√3649) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8384 × |
58384 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and eighty-four |
| Binary (base 2) | 1110010000010000 |
| Octal (base 8) | 162020 |
| Hexadecimal (base 16) | E410 |
| Base 3 | 2222002101 |
| As time | 58384 seconds = 16 h 13 min 4 s |
Is 58384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58384 ÷ 2 = 29192) | 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 (58384 ÷ 4 = 14596) | 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 4) | 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 | Yes (58384 ÷ 8 = 7298) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | 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 58384 a prime number?
No. 58384 = × 41 × 89, so it is divisible by 2.
What are the factors of 58384?
1, 2, 4, 8, 16, 41, 82, 89, 164, 178, 328, 356, 656, 712, 1424, 3649, 7298, 14596, 29192, 58384.
What is 58384 in binary?
1110010000010000 (hexadecimal E410, octal 162020).
What is the square root of 58384?
About 241.6278, exactly 4√3649.
Is 58384 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 58384?
It is a composite number with 20 divisors.