The number 57009
57009 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 613. Divisors (8): 1, 3, 31, 93, 613, 1839, 19003, 57009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57009 is composite. Its prime factorisation is
- 3
The divisors add up to 78592; without 57009 itself that is 21583, so 57009 is deficient (21583 is less than 57009). Euler's totient φ(57009) = 36720 numbers up to 57009 share no factor with it.
- 4
The digits of 57009 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57009 = 3 \times 31 \times 613 \]
57009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78592 |
| Euler totient φ(n) | 36720 |
| Square | 3250026081 |
| Cube | 185280736851729 |
| Square root | 238.765575 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.7009 × |
57009 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and nine |
| Binary (base 2) | 1101111010110001 |
| Octal (base 8) | 157261 |
| Hexadecimal (base 16) | DEB1 |
| Base 3 | 2220012110 |
| As time | 57009 seconds = 15 h 50 min 9 s |
Is 57009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57009 ÷ 3 = 19003) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57009 a prime number?
No. 57009 = 3 × 31 × 613, so it is divisible by 3.
What are the factors of 57009?
1, 3, 31, 93, 613, 1839, 19003, 57009.
What is 57009 in binary?
1101111010110001 (hexadecimal DEB1, octal 157261).
What is the square root of 57009?
About 238.7656.
Is 57009 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57009?
It is a composite number with 8 divisors.