The number 57008
57008 is a composite number with 20 divisors. Its prime factorisation is × 7 × 509. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 509, 1018, 2036, 3563, 4072, 7126 … 57008.
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How to work it out
- 1
57008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57008 is composite. Its prime factorisation is
- 3
The divisors add up to 126480; without 57008 itself that is 69472, so 57008 is abundant (69472 is more than 57008). Euler's totient φ(57008) = 24384 numbers up to 57008 share no factor with it.
- 4
The digits of 57008 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57008 = 2^{4} \times 7 \times 509 \]57008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 126480 |
| Euler totient φ(n) | 24384 |
| Square | 3249912064 |
| Cube | 185270986944512 |
| Square root | 238.763481 (= 4√3563) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.7008 × |
57008 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and eight |
| Binary (base 2) | 1101111010110000 |
| Octal (base 8) | 157260 |
| Hexadecimal (base 16) | DEB0 |
| Base 3 | 2220012102 |
| As time | 57008 seconds = 15 h 50 min 8 s |
Is 57008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57008 ÷ 2 = 28504) | 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 (57008 ÷ 4 = 14252) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (57008 ÷ 7 = 8144) | 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 (57008 ÷ 8 = 7126) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 57008 a prime number?
No. 57008 = × 7 × 509, so it is divisible by 2.
What are the factors of 57008?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 509, 1018, 2036, 3563, 4072, 7126, 8144, 14252, 28504, 57008.
What is 57008 in binary?
1101111010110000 (hexadecimal DEB0, octal 157260).
What is the square root of 57008?
About 238.7635, exactly 4√3563.
Is 57008 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 57008?
It is a composite number with 20 divisors.