The number 42167
42167 is a composite number with 4 divisors. Its prime factorisation is 149 × 283. Divisors (4): 1, 149, 283, 42167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42167: a semiprime: 149 × 283, the product of two primes.
- 2
42167 is composite. Its prime factorisation is
- 3
The divisors add up to 42600; without 42167 itself that is 433, so 42167 is deficient (433 is less than 42167). Euler's totient φ(42167) = 41736 numbers up to 42167 share no factor with it.
- 4
The digits of 42167 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42167 = 149 \times 283 \]
42167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42600 |
| Euler totient φ(n) | 41736 |
| Square | 1778055889 |
| Cube | 74975282671463 |
| Square root | 205.346049 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2167 × |
42167 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and sixty-seven |
| Binary (base 2) | 1010010010110111 |
| Octal (base 8) | 122267 |
| Hexadecimal (base 16) | A4B7 |
| Base 3 | 2010211202 |
| As time | 42167 seconds = 11 h 42 min 47 s |
Is 42167 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 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 2) | 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 4) | 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 42167 a prime number?
No. 42167 = 149 × 283, so it is divisible by 149.
What are the factors of 42167?
1, 149, 283, 42167.
What is 42167 in binary?
1010010010110111 (hexadecimal A4B7, octal 122267).
What is the square root of 42167?
About 205.3460.
Is 42167 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42167?
42167 is a semiprime: 149 × 283, the product of two primes.