The number 57729
57729 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2749. Divisors (8): 1, 3, 7, 21, 2749, 8247, 19243, 57729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57729: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57729 is composite. Its prime factorisation is
- 3
The divisors add up to 88000; without 57729 itself that is 30271, so 57729 is deficient (30271 is less than 57729). Euler's totient φ(57729) = 32976 numbers up to 57729 share no factor with it.
- 4
The digits of 57729 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57729 = 3 \times 7 \times 2749 \]
57729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 88000 |
| Euler totient φ(n) | 32976 |
| Square | 3332637441 |
| Cube | 192389826831489 |
| Square root | 240.268600 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7729 × |
57729 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred and twenty-nine |
| Binary (base 2) | 1110000110000001 |
| Octal (base 8) | 160601 |
| Hexadecimal (base 16) | E181 |
| Base 3 | 2221012010 |
| As time | 57729 seconds = 16 h 2 min 9 s |
Is 57729 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 (57729 ÷ 3 = 19243) | 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 | Yes (57729 ÷ 7 = 8247) | 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 3) | 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 1) | 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 57729 a prime number?
No. 57729 = 3 × 7 × 2749, so it is divisible by 3.
What are the factors of 57729?
1, 3, 7, 21, 2749, 8247, 19243, 57729.
What is 57729 in binary?
1110000110000001 (hexadecimal E181, octal 160601).
What is the square root of 57729?
About 240.2686.
Is 57729 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 57729?
57729 is a happy number: repeatedly adding the squares of its digits reaches 1.