The number 57006
57006 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3167. Divisors (12): 1, 2, 3, 6, 9, 18, 3167, 6334, 9501, 19002, 28503, 57006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57006: a Harshad number: divisible by its digit sum 18.
- 2
57006 is composite. Its prime factorisation is
- 3
The divisors add up to 123552; without 57006 itself that is 66546, so 57006 is abundant (66546 is more than 57006). Euler's totient φ(57006) = 18996 numbers up to 57006 share no factor with it.
- 4
The digits of 57006 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57006 = 2 \times 3^{2} \times 3167 \]57006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123552 |
| Euler totient φ(n) | 18996 |
| Square | 3249684036 |
| Cube | 185251488156216 |
| Square root | 238.759293 (= 3√6334) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.7006 × |
57006 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and six |
| Binary (base 2) | 1101111010101110 |
| Octal (base 8) | 157256 |
| Hexadecimal (base 16) | DEAE |
| Base 3 | 2220012100 |
| As time | 57006 seconds = 15 h 50 min 6 s |
Is 57006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57006 ÷ 2 = 28503) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57006 ÷ 3 = 19002) | 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 | Yes (57006 ÷ 6 = 9501) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (57006 ÷ 9 = 6334) | 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 4) | 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 57006 a prime number?
No. 57006 = 2 × × 3167, so it is divisible by 2.
What are the factors of 57006?
1, 2, 3, 6, 9, 18, 3167, 6334, 9501, 19002, 28503, 57006.
What is 57006 in binary?
1101111010101110 (hexadecimal DEAE, octal 157256).
What is the square root of 57006?
About 238.7593, exactly 3√6334.
Is 57006 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57006?
57006 is a Harshad number: divisible by its digit sum 18.