The number 58016
58016 is a composite number with 36 divisors. Its prime factorisation is × × 37. Divisors (36): 1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 49, 56, 74, 98, 112, 148 … 58016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58016 is composite. Its prime factorisation is
- 3
The divisors add up to 136458; without 58016 itself that is 78442, so 58016 is abundant (78442 is more than 58016). Euler's totient φ(58016) = 24192 numbers up to 58016 share no factor with it.
- 4
The digits of 58016 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 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58016 = 2^{5} \times 7^{2} \times 37 \]58016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 136458 |
| Euler totient φ(n) | 24192 |
| Square | 3365856256 |
| Cube | 195273516548096 |
| Square root | 240.865107 (= 28√74) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 21 |
| Scientific notation | 5.8016 × |
58016 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and sixteen |
| Binary (base 2) | 1110001010100000 |
| Octal (base 8) | 161240 |
| Hexadecimal (base 16) | E2A0 |
| Base 3 | 2221120202 |
| As time | 58016 seconds = 16 h 6 min 56 s |
Is 58016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58016 ÷ 2 = 29008) | 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 | Yes (58016 ÷ 4 = 14504) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58016 ÷ 7 = 8288) | 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 (58016 ÷ 8 = 7252) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58016 a prime number?
No. 58016 = × × 37, so it is divisible by 2.
What are the factors of 58016?
1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 49, 56, 74, 98, 112, 148, 196, 224, 259, 296, 392, 518, 592, 784, 1036, 1184, 1568, 1813, 2072, 3626, 4144, 7252, 8288, 14504, 29008, 58016.
What is 58016 in binary?
1110001010100000 (hexadecimal E2A0, octal 161240).
What is the square root of 58016?
About 240.8651, exactly 28√74.
Is 58016 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 58016?
It is a composite number with 36 divisors.