The number 57404
57404 is a composite number with 12 divisors. Its prime factorisation is × 113 × 127. Divisors (12): 1, 2, 4, 113, 127, 226, 254, 452, 508, 14351, 28702, 57404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57404 is composite. Its prime factorisation is
- 3
The divisors add up to 102144; without 57404 itself that is 44740, so 57404 is deficient (44740 is less than 57404). Euler's totient φ(57404) = 28224 numbers up to 57404 share no factor with it.
- 4
The digits of 57404 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57404 = 2^{2} \times 113 \times 127 \]57404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 102144 |
| Euler totient φ(n) | 28224 |
| Square | 3295219216 |
| Cube | 189158763875264 |
| Square root | 239.591319 (= 2√14351) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7404 × |
57404 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and four |
| Binary (base 2) | 1110000000111100 |
| Octal (base 8) | 160074 |
| Hexadecimal (base 16) | E03C |
| Base 3 | 2220202002 |
| As time | 57404 seconds = 15 h 56 min 44 s |
Is 57404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57404 ÷ 2 = 28702) | 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 (57404 ÷ 4 = 14351) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 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 57404 a prime number?
No. 57404 = × 113 × 127, so it is divisible by 2.
What are the factors of 57404?
1, 2, 4, 113, 127, 226, 254, 452, 508, 14351, 28702, 57404.
What is 57404 in binary?
1110000000111100 (hexadecimal E03C, octal 160074).
What is the square root of 57404?
About 239.5913, exactly 2√14351.
Is 57404 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 57404?
It is a composite number with 12 divisors.