The number 42107
42107 is a composite number with 8 divisors. Its prime factorisation is 13 × 41 × 79. Divisors (8): 1, 13, 41, 79, 533, 1027, 3239, 42107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42107: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42107 is composite. Its prime factorisation is
- 3
The divisors add up to 47040; without 42107 itself that is 4933, so 42107 is deficient (4933 is less than 42107). Euler's totient φ(42107) = 37440 numbers up to 42107 share no factor with it.
- 4
The digits of 42107 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42107 = 13 \times 41 \times 79 \]
42107 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47040 |
| Euler totient φ(n) | 37440 |
| Square | 1772999449 |
| Cube | 74655687799043 |
| Square root | 205.199903 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2107 × |
42107 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and seven |
| Binary (base 2) | 1010010001111011 |
| Octal (base 8) | 122173 |
| Hexadecimal (base 16) | A47B |
| Base 3 | 2010202112 |
| As time | 42107 seconds = 11 h 41 min 47 s |
Is 42107 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 2) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42107 a prime number?
No. 42107 = 13 × 41 × 79, so it is divisible by 13.
What are the factors of 42107?
1, 13, 41, 79, 533, 1027, 3239, 42107.
What is 42107 in binary?
1010010001111011 (hexadecimal A47B, octal 122173).
What is the square root of 42107?
About 205.1999.
Is 42107 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42107?
42107 is a happy number: repeatedly adding the squares of its digits reaches 1.