The number 57004
57004 is a composite number with 6 divisors. Its prime factorisation is × 14251. Divisors (6): 1, 2, 4, 14251, 28502, 57004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57004 is composite. Its prime factorisation is
- 3
The divisors add up to 99764; without 57004 itself that is 42760, so 57004 is deficient (42760 is less than 57004). Euler's totient φ(57004) = 28500 numbers up to 57004 share no factor with it.
- 4
The digits of 57004 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57004 = 2^{2} \times 14251 \]57004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 99764 |
| Euler totient φ(n) | 28500 |
| Square | 3249456016 |
| Cube | 185231990736064 |
| Square root | 238.755105 (= 2√14251) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.7004 × |
57004 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and four |
| Binary (base 2) | 1101111010101100 |
| Octal (base 8) | 157254 |
| Hexadecimal (base 16) | DEAC |
| Base 3 | 2220012021 |
| As time | 57004 seconds = 15 h 50 min 4 s |
Is 57004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57004 ÷ 2 = 28502) | 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 | Yes (57004 ÷ 4 = 14251) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57004 a prime number?
No. 57004 = × 14251, so it is divisible by 2.
What are the factors of 57004?
1, 2, 4, 14251, 28502, 57004.
What is 57004 in binary?
1101111010101100 (hexadecimal DEAC, octal 157254).
What is the square root of 57004?
About 238.7551, exactly 2√14251.
Is 57004 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 57004?
It is a composite number with 6 divisors.