The number 42067
42067 is a composite number with 8 divisors. Its prime factorisation is 23 × 31 × 59. Divisors (8): 1, 23, 31, 59, 713, 1357, 1829, 42067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42067 is composite. Its prime factorisation is
- 3
The divisors add up to 46080; without 42067 itself that is 4013, so 42067 is deficient (4013 is less than 42067). Euler's totient φ(42067) = 38280 numbers up to 42067 share no factor with it.
- 4
The digits of 42067 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42067 = 23 \times 31 \times 59 \]
42067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46080 |
| Euler totient φ(n) | 38280 |
| Square | 1769632489 |
| Cube | 74443129914763 |
| Square root | 205.102413 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2067 × |
42067 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and sixty-seven |
| Binary (base 2) | 1010010001010011 |
| Octal (base 8) | 122123 |
| Hexadecimal (base 16) | A453 |
| Base 3 | 2010201001 |
| As time | 42067 seconds = 11 h 41 min 7 s |
Is 42067 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 | No (remainder 2) | 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 4) | 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 1) | 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 3) | 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 42067 a prime number?
No. 42067 = 23 × 31 × 59, so it is divisible by 23.
What are the factors of 42067?
1, 23, 31, 59, 713, 1357, 1829, 42067.
What is 42067 in binary?
1010010001010011 (hexadecimal A453, octal 122123).
What is the square root of 42067?
About 205.1024.
Is 42067 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42067?
It is a composite number with 8 divisors.