The number 42684
42684 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3557. Divisors (12): 1, 2, 3, 4, 6, 12, 3557, 7114, 10671, 14228, 21342, 42684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42684 is composite. Its prime factorisation is
- 3
The divisors add up to 99624; without 42684 itself that is 56940, so 42684 is abundant (56940 is more than 42684). Euler's totient φ(42684) = 14224 numbers up to 42684 share no factor with it.
- 4
The digits of 42684 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42684 = 2^{2} \times 3 \times 3557 \]42684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99624 |
| Euler totient φ(n) | 14224 |
| Square | 1821923856 |
| Cube | 77766997869504 |
| Square root | 206.601065 (= 2√10671) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2684 × |
42684 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and eighty-four |
| Binary (base 2) | 1010011010111100 |
| Octal (base 8) | 123274 |
| Hexadecimal (base 16) | A6BC |
| Base 3 | 2011112220 |
| As time | 42684 seconds = 11 h 51 min 24 s |
Is 42684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42684 ÷ 2 = 21342) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42684 ÷ 3 = 14228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42684 ÷ 4 = 10671) | 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 | Yes (42684 ÷ 6 = 7114) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42684 ÷ 12 = 3557) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42684 a prime number?
No. 42684 = × 3 × 3557, so it is divisible by 2.
What are the factors of 42684?
1, 2, 3, 4, 6, 12, 3557, 7114, 10671, 14228, 21342, 42684.
What is 42684 in binary?
1010011010111100 (hexadecimal A6BC, octal 123274).
What is the square root of 42684?
About 206.6011, exactly 2√10671.
Is 42684 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42684?
It is a composite number with 12 divisors.