The number 58008
58008 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2417. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2417, 4834, 7251, 9668, 14502, 19336, 29004, 58008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58008 is composite. Its prime factorisation is
- 3
The divisors add up to 145080; without 58008 itself that is 87072, so 58008 is abundant (87072 is more than 58008). Euler's totient φ(58008) = 19328 numbers up to 58008 share no factor with it.
- 4
The digits of 58008 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58008 = 2^{3} \times 3 \times 2417 \]58008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 145080 |
| Euler totient φ(n) | 19328 |
| Square | 3364928064 |
| Cube | 195192747136512 |
| Square root | 240.848500 (= 2√14502) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8008 × |
58008 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and eight |
| Binary (base 2) | 1110001010011000 |
| Octal (base 8) | 161230 |
| Hexadecimal (base 16) | E298 |
| Base 3 | 2221120110 |
| As time | 58008 seconds = 16 h 6 min 48 s |
Is 58008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58008 ÷ 2 = 29004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58008 ÷ 3 = 19336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58008 ÷ 4 = 14502) | 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 (58008 ÷ 6 = 9668) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (58008 ÷ 8 = 7251) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58008 ÷ 12 = 4834) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58008 a prime number?
No. 58008 = × 3 × 2417, so it is divisible by 2.
What are the factors of 58008?
1, 2, 3, 4, 6, 8, 12, 24, 2417, 4834, 7251, 9668, 14502, 19336, 29004, 58008.
What is 58008 in binary?
1110001010011000 (hexadecimal E298, octal 161230).
What is the square root of 58008?
About 240.8485, exactly 2√14502.
Is 58008 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 58008?
It is a composite number with 16 divisors.