The number 42484
42484 is a composite number with 24 divisors. Its prime factorisation is × 13 × 19 × 43. Divisors (24): 1, 2, 4, 13, 19, 26, 38, 43, 52, 76, 86, 172, 247, 494, 559, 817 … 42484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42484 is composite. Its prime factorisation is
- 3
The divisors add up to 86240; without 42484 itself that is 43756, so 42484 is abundant (43756 is more than 42484). Euler's totient φ(42484) = 18144 numbers up to 42484 share no factor with it.
- 4
The digits of 42484 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42484 = 2^{2} \times 13 \times 19 \times 43 \]42484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 86240 |
| Euler totient φ(n) | 18144 |
| Square | 1804890256 |
| Cube | 76678957635904 |
| Square root | 206.116472 (= 2√10621) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2484 × |
42484 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and eighty-four |
| Binary (base 2) | 1010010111110100 |
| Octal (base 8) | 122764 |
| Hexadecimal (base 16) | A5F4 |
| Base 3 | 2011021111 |
| As time | 42484 seconds = 11 h 48 min 4 s |
Is 42484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42484 ÷ 2 = 21242) | 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 (42484 ÷ 4 = 10621) | 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 1) | 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 4) | 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 2) | 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 42484 a prime number?
No. 42484 = × 13 × 19 × 43, so it is divisible by 2.
What are the factors of 42484?
1, 2, 4, 13, 19, 26, 38, 43, 52, 76, 86, 172, 247, 494, 559, 817, 988, 1118, 1634, 2236, 3268, 10621, 21242, 42484.
What is 42484 in binary?
1010010111110100 (hexadecimal A5F4, octal 122764).
What is the square root of 42484?
About 206.1165, exactly 2√10621.
Is 42484 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42484?
It is a composite number with 24 divisors.