The number 57855
57855 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 19 × 29. Divisors (32): 1, 3, 5, 7, 15, 19, 21, 29, 35, 57, 87, 95, 105, 133, 145, 203 … 57855.
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How to work it out
- 1
What is special about 57855: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57855 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 57855 itself that is 57345, so 57855 is deficient (57345 is less than 57855). Euler's totient φ(57855) = 24192 numbers up to 57855 share no factor with it.
- 4
The digits of 57855 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 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57855 = 3 \times 5 \times 7 \times 19 \times 29 \]
57855 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 24192 |
| Square | 3347201025 |
| Cube | 193652315301375 |
| Square root | 240.530663 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 210 |
| Scientific notation | 5.7855 × |
57855 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand eight hundred and fifty-five |
| Binary (base 2) | 1110000111111111 |
| Octal (base 8) | 160777 |
| Hexadecimal (base 16) | E1FF |
| Base 3 | 2221100210 |
| As time | 57855 seconds = 16 h 4 min 15 s |
Is 57855 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 (57855 ÷ 3 = 19285) | 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 | Yes (57855 ÷ 5 = 11571) | 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 (57855 ÷ 7 = 8265) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 57855 a prime number?
No. 57855 = 3 × 5 × 7 × 19 × 29, so it is divisible by 3.
What are the factors of 57855?
1, 3, 5, 7, 15, 19, 21, 29, 35, 57, 87, 95, 105, 133, 145, 203, 285, 399, 435, 551, 609, 665, 1015, 1653, 1995, 2755, 3045, 3857, 8265, 11571, 19285, 57855.
What is 57855 in binary?
1110000111111111 (hexadecimal E1FF, octal 160777).
What is the square root of 57855?
About 240.5307.
Is 57855 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 57855?
57855 is a happy number: repeatedly adding the squares of its digits reaches 1.