The number 57429
57429 is a composite number with 10 divisors. Its prime factorisation is × 709. Divisors (10): 1, 3, 9, 27, 81, 709, 2127, 6381, 19143, 57429.
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How to work it out
- 1
What is special about 57429: a Harshad number: divisible by its digit sum 27.
- 2
57429 is composite. Its prime factorisation is
- 3
The divisors add up to 85910; without 57429 itself that is 28481, so 57429 is deficient (28481 is less than 57429). Euler's totient φ(57429) = 38232 numbers up to 57429 share no factor with it.
- 4
The digits of 57429 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57429 = 3^{4} \times 709 \]57429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 85910 |
| Euler totient φ(n) | 38232 |
| Square | 3298090041 |
| Cube | 189406012964589 |
| Square root | 239.643485 (= 9√709) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7429 × |
57429 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and twenty-nine |
| Binary (base 2) | 1110000001010101 |
| Octal (base 8) | 160125 |
| Hexadecimal (base 16) | E055 |
| Base 3 | 2220210000 |
| As time | 57429 seconds = 15 h 57 min 9 s |
Is 57429 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 (57429 ÷ 3 = 19143) | 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 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57429 ÷ 9 = 6381) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57429 a prime number?
No. 57429 = × 709, so it is divisible by 3.
What are the factors of 57429?
1, 3, 9, 27, 81, 709, 2127, 6381, 19143, 57429.
What is 57429 in binary?
1110000001010101 (hexadecimal E055, octal 160125).
What is the square root of 57429?
About 239.6435, exactly 9√709.
Is 57429 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 57429?
57429 is a Harshad number: divisible by its digit sum 27.