The number 42055
42055 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 647. Divisors (8): 1, 5, 13, 65, 647, 3235, 8411, 42055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42055: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42055 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 42055 itself that is 12377, so 42055 is deficient (12377 is less than 42055). Euler's totient φ(42055) = 31008 numbers up to 42055 share no factor with it.
- 4
The digits of 42055 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42055 = 5 \times 13 \times 647 \]
42055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 31008 |
| Square | 1768623025 |
| Cube | 74379441316375 |
| Square root | 205.073158 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2055 × |
42055 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and fifty-five |
| Binary (base 2) | 1010010001000111 |
| Octal (base 8) | 122107 |
| Hexadecimal (base 16) | A447 |
| Base 3 | 2010200121 |
| As time | 42055 seconds = 11 h 40 min 55 s |
Is 42055 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 | No (remainder 1) | 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 (42055 ÷ 5 = 8411) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42055 a prime number?
No. 42055 = 5 × 13 × 647, so it is divisible by 5.
What are the factors of 42055?
1, 5, 13, 65, 647, 3235, 8411, 42055.
What is 42055 in binary?
1010010001000111 (hexadecimal A447, octal 122107).
What is the square root of 42055?
About 205.0732.
Is 42055 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42055?
42055 is a happy number: repeatedly adding the squares of its digits reaches 1.