The number 58038
58038 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 569. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 569, 1138, 1707, 3414, 9673, 19346, 29019, 58038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58038 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58038 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 58038 itself that is 65082, so 58038 is abundant (65082 is more than 58038). Euler's totient φ(58038) = 18176 numbers up to 58038 share no factor with it.
- 4
The digits of 58038 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58038 = 2 \times 3 \times 17 \times 569 \]
58038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 18176 |
| Square | 3368409444 |
| Cube | 195495747310872 |
| Square root | 240.910772 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8038 × |
58038 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and thirty-eight |
| Binary (base 2) | 1110001010110110 |
| Octal (base 8) | 161266 |
| Hexadecimal (base 16) | E2B6 |
| Base 3 | 2221121120 |
| As time | 58038 seconds = 16 h 7 min 18 s |
Is 58038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58038 ÷ 2 = 29019) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58038 ÷ 3 = 19346) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58038 ÷ 6 = 9673) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58038 a prime number?
No. 58038 = 2 × 3 × 17 × 569, so it is divisible by 2.
What are the factors of 58038?
1, 2, 3, 6, 17, 34, 51, 102, 569, 1138, 1707, 3414, 9673, 19346, 29019, 58038.
What is 58038 in binary?
1110001010110110 (hexadecimal E2B6, octal 161266).
What is the square root of 58038?
About 240.9108.
Is 58038 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 58038?
It is a composite number with 16 divisors.