The number 57673
57673 is a composite number with 12 divisors. Its prime factorisation is × 11 × 107. Divisors (12): 1, 7, 11, 49, 77, 107, 539, 749, 1177, 5243, 8239, 57673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57673 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57673 is composite. Its prime factorisation is
- 3
The divisors add up to 73872; without 57673 itself that is 16199, so 57673 is deficient (16199 is less than 57673). Euler's totient φ(57673) = 44520 numbers up to 57673 share no factor with it.
- 4
The digits of 57673 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57673 = 7^{2} \times 11 \times 107 \]57673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73872 |
| Euler totient φ(n) | 44520 |
| Square | 3326174929 |
| Cube | 191830486680217 |
| Square root | 240.152035 (= 7√1177) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.7673 × |
57673 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand six hundred and seventy-three |
| Binary (base 2) | 1110000101001001 |
| Octal (base 8) | 160511 |
| Hexadecimal (base 16) | E149 |
| Base 3 | 2221010001 |
| As time | 57673 seconds = 16 h 1 min 13 s |
Is 57673 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 | No (remainder 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (57673 ÷ 7 = 8239) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57673 ÷ 11 = 5243) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57673 a prime number?
No. 57673 = × 11 × 107, so it is divisible by 7.
What are the factors of 57673?
1, 7, 11, 49, 77, 107, 539, 749, 1177, 5243, 8239, 57673.
What is 57673 in binary?
1110000101001001 (hexadecimal E149, octal 160511).
What is the square root of 57673?
About 240.1520, exactly 7√1177.
Is 57673 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 57673?
It is a composite number with 12 divisors.