The number 42584
42584 is a composite number with 8 divisors. Its prime factorisation is × 5323. Divisors (8): 1, 2, 4, 8, 5323, 10646, 21292, 42584.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42584 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42584 is composite. Its prime factorisation is
- 3
The divisors add up to 79860; without 42584 itself that is 37276, so 42584 is deficient (37276 is less than 42584). Euler's totient φ(42584) = 21288 numbers up to 42584 share no factor with it.
- 4
The digits of 42584 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42584 = 2^{3} \times 5323 \]42584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79860 |
| Euler totient φ(n) | 21288 |
| Square | 1813397056 |
| Cube | 77221700232704 |
| Square root | 206.358911 (= 2√10646) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2584 × |
42584 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and eighty-four |
| Binary (base 2) | 1010011001011000 |
| Octal (base 8) | 123130 |
| Hexadecimal (base 16) | A658 |
| Base 3 | 2011102012 |
| As time | 42584 seconds = 11 h 49 min 44 s |
Is 42584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42584 ÷ 2 = 21292) | 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 (42584 ÷ 4 = 10646) | 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 | Yes (42584 ÷ 8 = 5323) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 42584 a prime number?
No. 42584 = × 5323, so it is divisible by 2.
What are the factors of 42584?
1, 2, 4, 8, 5323, 10646, 21292, 42584.
What is 42584 in binary?
1010011001011000 (hexadecimal A658, octal 123130).
What is the square root of 42584?
About 206.3589, exactly 2√10646.
Is 42584 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42584?
It is a composite number with 8 divisors.