The number 42184
42184 is a composite number with 8 divisors. Its prime factorisation is × 5273. Divisors (8): 1, 2, 4, 8, 5273, 10546, 21092, 42184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42184 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42184 is composite. Its prime factorisation is
- 3
The divisors add up to 79110; without 42184 itself that is 36926, so 42184 is deficient (36926 is less than 42184). Euler's totient φ(42184) = 21088 numbers up to 42184 share no factor with it.
- 4
The digits of 42184 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42184 = 2^{3} \times 5273 \]42184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79110 |
| Euler totient φ(n) | 21088 |
| Square | 1779489856 |
| Cube | 75066000085504 |
| Square root | 205.387439 (= 2√10546) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2184 × |
42184 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and eighty-four |
| Binary (base 2) | 1010010011001000 |
| Octal (base 8) | 122310 |
| Hexadecimal (base 16) | A4C8 |
| Base 3 | 2010212101 |
| As time | 42184 seconds = 11 h 43 min 4 s |
Is 42184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42184 ÷ 2 = 21092) | 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 | Yes (42184 ÷ 4 = 10546) | 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 4) | 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 | Yes (42184 ÷ 8 = 5273) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42184 a prime number?
No. 42184 = × 5273, so it is divisible by 2.
What are the factors of 42184?
1, 2, 4, 8, 5273, 10546, 21092, 42184.
What is 42184 in binary?
1010010011001000 (hexadecimal A4C8, octal 122310).
What is the square root of 42184?
About 205.3874, exactly 2√10546.
Is 42184 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42184?
It is a composite number with 8 divisors.