The number 57339
57339 is a binary palindrome (1101111111111011). Its prime factorisation is × 23 × 277. Divisors (12): 1, 3, 9, 23, 69, 207, 277, 831, 2493, 6371, 19113, 57339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57339: a binary palindrome (1101111111111011).
- 2
57339 is composite. Its prime factorisation is
- 3
The divisors add up to 86736; without 57339 itself that is 29397, so 57339 is deficient (29397 is less than 57339). Euler's totient φ(57339) = 36432 numbers up to 57339 share no factor with it.
- 4
The digits of 57339 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57339 = 3^{2} \times 23 \times 277 \]57339 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 86736 |
| Euler totient φ(n) | 36432 |
| Square | 3287760921 |
| Cube | 188516923449219 |
| Square root | 239.455633 (= 3√6371) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7339 × |
57339 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and thirty-nine |
| Binary (base 2) | 1101111111111011 |
| Octal (base 8) | 157773 |
| Hexadecimal (base 16) | DFFB |
| Base 3 | 2220122200 |
| As time | 57339 seconds = 15 h 55 min 39 s |
Is 57339 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 | Yes (57339 ÷ 3 = 19113) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57339 ÷ 9 = 6371) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57339 a prime number?
No. 57339 = × 23 × 277, so it is divisible by 3.
What are the factors of 57339?
1, 3, 9, 23, 69, 207, 277, 831, 2493, 6371, 19113, 57339.
What is 57339 in binary?
1101111111111011 (hexadecimal DFFB, octal 157773).
What is the square root of 57339?
About 239.4556, exactly 3√6371.
Is 57339 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 57339?
57339 is a binary palindrome (1101111111111011).