The number 42164
42164 is a composite number with 12 divisors. Its prime factorisation is × 83 × 127. Divisors (12): 1, 2, 4, 83, 127, 166, 254, 332, 508, 10541, 21082, 42164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42164 is composite. Its prime factorisation is
- 3
The divisors add up to 75264; without 42164 itself that is 33100, so 42164 is deficient (33100 is less than 42164). Euler's totient φ(42164) = 20664 numbers up to 42164 share no factor with it.
- 4
The digits of 42164 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42164 = 2^{2} \times 83 \times 127 \]42164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75264 |
| Euler totient φ(n) | 20664 |
| Square | 1777802896 |
| Cube | 74959281306944 |
| Square root | 205.338745 (= 2√10541) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2164 × |
42164 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and sixty-four |
| Binary (base 2) | 1010010010110100 |
| Octal (base 8) | 122264 |
| Hexadecimal (base 16) | A4B4 |
| Base 3 | 2010211122 |
| As time | 42164 seconds = 11 h 42 min 44 s |
Is 42164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42164 ÷ 2 = 21082) | 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 | Yes (42164 ÷ 4 = 10541) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42164 a prime number?
No. 42164 = × 83 × 127, so it is divisible by 2.
What are the factors of 42164?
1, 2, 4, 83, 127, 166, 254, 332, 508, 10541, 21082, 42164.
What is 42164 in binary?
1010010010110100 (hexadecimal A4B4, octal 122264).
What is the square root of 42164?
About 205.3387, exactly 2√10541.
Is 42164 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42164?
It is a composite number with 12 divisors.