The number 42846
42846 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 193. Divisors (16): 1, 2, 3, 6, 37, 74, 111, 193, 222, 386, 579, 1158, 7141, 14282, 21423, 42846.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42846 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42846 is composite. Its prime factorisation is
- 3
The divisors add up to 88464; without 42846 itself that is 45618, so 42846 is abundant (45618 is more than 42846). Euler's totient φ(42846) = 13824 numbers up to 42846 share no factor with it.
- 4
The digits of 42846 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42846 = 2 \times 3 \times 37 \times 193 \]
42846 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88464 |
| Euler totient φ(n) | 13824 |
| Square | 1835779716 |
| Cube | 78655817711736 |
| Square root | 206.992753 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2846 × |
42846 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and forty-six |
| Binary (base 2) | 1010011101011110 |
| Octal (base 8) | 123536 |
| Hexadecimal (base 16) | A75E |
| Base 3 | 2011202220 |
| As time | 42846 seconds = 11 h 54 min 6 s |
Is 42846 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42846 ÷ 2 = 21423) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42846 ÷ 3 = 14282) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42846 ÷ 6 = 7141) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42846 a prime number?
No. 42846 = 2 × 3 × 37 × 193, so it is divisible by 2.
What are the factors of 42846?
1, 2, 3, 6, 37, 74, 111, 193, 222, 386, 579, 1158, 7141, 14282, 21423, 42846.
What is 42846 in binary?
1010011101011110 (hexadecimal A75E, octal 123536).
What is the square root of 42846?
About 206.9928.
Is 42846 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42846?
It is a composite number with 16 divisors.