The number 42255
42255 is a composite number with 16 divisors. Its prime factorisation is × 5 × 313. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 313, 939, 1565, 2817, 4695, 8451, 14085, 42255.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42255 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42255 is composite. Its prime factorisation is
- 3
The divisors add up to 75360; without 42255 itself that is 33105, so 42255 is deficient (33105 is less than 42255). Euler's totient φ(42255) = 22464 numbers up to 42255 share no factor with it.
- 4
The digits of 42255 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42255 = 3^{3} \times 5 \times 313 \]42255 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75360 |
| Euler totient φ(n) | 22464 |
| Square | 1785485025 |
| Cube | 75445669731375 |
| Square root | 205.560210 (= 3√4695) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2255 × |
42255 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and fifty-five |
| Binary (base 2) | 1010010100001111 |
| Octal (base 8) | 122417 |
| Hexadecimal (base 16) | A50F |
| Base 3 | 2010222000 |
| As time | 42255 seconds = 11 h 44 min 15 s |
Is 42255 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 (42255 ÷ 3 = 14085) | 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 (42255 ÷ 5 = 8451) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42255 ÷ 9 = 4695) | 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 4) | 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 42255 a prime number?
No. 42255 = × 5 × 313, so it is divisible by 3.
What are the factors of 42255?
1, 3, 5, 9, 15, 27, 45, 135, 313, 939, 1565, 2817, 4695, 8451, 14085, 42255.
What is 42255 in binary?
1010010100001111 (hexadecimal A50F, octal 122417).
What is the square root of 42255?
About 205.5602, exactly 3√4695.
Is 42255 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42255?
It is a composite number with 16 divisors.