The number 57472
57472 is a composite number with 16 divisors. Its prime factorisation is × 449. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 449, 898, 1796, 3592, 7184, 14368, 28736, 57472.
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How to work it out
- 1
57472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57472 is composite. Its prime factorisation is
- 3
The divisors add up to 114750; without 57472 itself that is 57278, so 57472 is deficient (57278 is less than 57472). Euler's totient φ(57472) = 28672 numbers up to 57472 share no factor with it.
- 4
The digits of 57472 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57472 = 2^{7} \times 449 \]57472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114750 |
| Euler totient φ(n) | 28672 |
| Square | 3303030784 |
| Cube | 189831785218048 |
| Square root | 239.733185 (= 8√898) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.7472 × |
57472 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and seventy-two |
| Binary (base 2) | 1110000010000000 |
| Octal (base 8) | 160200 |
| Hexadecimal (base 16) | E080 |
| Base 3 | 2220211121 |
| As time | 57472 seconds = 15 h 57 min 52 s |
Is 57472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57472 ÷ 2 = 28736) | 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 (57472 ÷ 4 = 14368) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 (57472 ÷ 8 = 7184) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 57472 a prime number?
No. 57472 = × 449, so it is divisible by 2.
What are the factors of 57472?
1, 2, 4, 8, 16, 32, 64, 128, 449, 898, 1796, 3592, 7184, 14368, 28736, 57472.
What is 57472 in binary?
1110000010000000 (hexadecimal E080, octal 160200).
What is the square root of 57472?
About 239.7332, exactly 8√898.
Is 57472 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 57472?
It is a composite number with 16 divisors.