The number 58006
58006 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 23 × 97. Divisors (16): 1, 2, 13, 23, 26, 46, 97, 194, 299, 598, 1261, 2231, 2522, 4462, 29003, 58006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58006 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 58006 itself that is 40778, so 58006 is deficient (40778 is less than 58006). Euler's totient φ(58006) = 25344 numbers up to 58006 share no factor with it.
- 4
The digits of 58006 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58006 = 2 \times 13 \times 23 \times 97 \]
58006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 25344 |
| Square | 3364696036 |
| Cube | 195172558264216 |
| Square root | 240.844348 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8006 × |
58006 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and six |
| Binary (base 2) | 1110001010010110 |
| Octal (base 8) | 161226 |
| Hexadecimal (base 16) | E296 |
| Base 3 | 2221120101 |
| As time | 58006 seconds = 16 h 6 min 46 s |
Is 58006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58006 ÷ 2 = 29003) | 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 | No (remainder 2) | 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 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 | No (remainder 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58006 a prime number?
No. 58006 = 2 × 13 × 23 × 97, so it is divisible by 2.
What are the factors of 58006?
1, 2, 13, 23, 26, 46, 97, 194, 299, 598, 1261, 2231, 2522, 4462, 29003, 58006.
What is 58006 in binary?
1110001010010110 (hexadecimal E296, octal 161226).
What is the square root of 58006?
About 240.8443.
Is 58006 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 58006?
It is a composite number with 16 divisors.