The number 57291
57291 is a triangular number: 1 + 2 + … + 338 = 57291. Its prime factorisation is 3 × × 113. Divisors (12): 1, 3, 13, 39, 113, 169, 339, 507, 1469, 4407, 19097, 57291.
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How to work it out
- 1
What is special about 57291: a triangular number: 1 + 2 + … + 338 = 57291.
- 2
57291 is composite. Its prime factorisation is
- 3
The divisors add up to 83448; without 57291 itself that is 26157, so 57291 is deficient (26157 is less than 57291). Euler's totient φ(57291) = 34944 numbers up to 57291 share no factor with it.
- 4
The digits of 57291 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57291 = 3 \times 13^{2} \times 113 \]57291 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83448 |
| Euler totient φ(n) | 34944 |
| Square | 3282258681 |
| Cube | 188043882093171 |
| Square root | 239.355384 (= 13√339) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7291 × |
57291 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand two hundred and ninety-one |
| Binary (base 2) | 1101111111001011 |
| Octal (base 8) | 157713 |
| Hexadecimal (base 16) | DFCB |
| Base 3 | 2220120220 |
| As time | 57291 seconds = 15 h 54 min 51 s |
Is 57291 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 (57291 ÷ 3 = 19097) | 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 1) | 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 3) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 57291 a prime number?
No. 57291 = 3 × × 113, so it is divisible by 3.
What are the factors of 57291?
1, 3, 13, 39, 113, 169, 339, 507, 1469, 4407, 19097, 57291.
What is 57291 in binary?
1101111111001011 (hexadecimal DFCB, octal 157713).
What is the square root of 57291?
About 239.3554, exactly 13√339.
Is 57291 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57291?
57291 is a triangular number: 1 + 2 + … + 338 = 57291.