The number 57967
57967 is a composite number with 12 divisors. Its prime factorisation is Ć . Divisors (12): 1, 7, 13, 49, 91, 169, 343, 637, 1183, 4459, 8281, 57967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57967 is composite. Its prime factorisation is
- 3
The divisors add up to 73200; without 57967 itself that is 15233, so 57967 is deficient (15233 is less than 57967). Euler's totient Ļ(57967) = 45864 numbers up to 57967 share no factor with it.
- 4
The digits of 57967 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57967 = 7^{3} \times 13^{2} \]57967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73200 |
| Euler totient Ļ(n) | 45864 |
| Square | 3360173089 |
| Cube | 194779153450063 |
| Square root | 240.763369 (= 91ā7) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7967 Ć |
57967 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and sixty-seven |
| Binary (base 2) | 1110001001101111 |
| Octal (base 8) | 161157 |
| Hexadecimal (base 16) | E26F |
| Base 3 | 2221111221 |
| As time | 57967 seconds = 16 h 6 min 7 s |
Is 57967 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (57967 Ć· 7 = 8281) | 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 7) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57967 a prime number?
No. 57967 = Ć , so it is divisible by 7.
What are the factors of 57967?
1, 7, 13, 49, 91, 169, 343, 637, 1183, 4459, 8281, 57967.
What is 57967 in binary?
1110001001101111 (hexadecimal E26F, octal 161157).
What is the square root of 57967?
About 240.7634, exactly 91ā7.
Is 57967 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 57967?
It is a composite number with 12 divisors.