The number 42834
42834 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 59. Divisors (24): 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 121, 177, 242, 354, 363, 649 … 42834.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42834: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42834 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 42834 itself that is 52926, so 42834 is abundant (52926 is more than 42834). Euler's totient φ(42834) = 12760 numbers up to 42834 share no factor with it.
- 4
The digits of 42834 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 238 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42834 = 2 \times 3 \times 11^{2} \times 59 \]42834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 12760 |
| Square | 1834751556 |
| Cube | 78589748149704 |
| Square root | 206.963765 (= 11√354) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 238 |
| Scientific notation | 4.2834 × |
42834 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and thirty-four |
| Binary (base 2) | 1010011101010010 |
| Octal (base 8) | 123522 |
| Hexadecimal (base 16) | A752 |
| Base 3 | 2011202110 |
| As time | 42834 seconds = 11 h 53 min 54 s |
Is 42834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42834 ÷ 2 = 21417) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42834 ÷ 3 = 14278) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42834 ÷ 6 = 7139) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (42834 ÷ 11 = 3894) | 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 42834 a prime number?
No. 42834 = 2 × 3 × × 59, so it is divisible by 2.
What are the factors of 42834?
1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 121, 177, 242, 354, 363, 649, 726, 1298, 1947, 3894, 7139, 14278, 21417, 42834.
What is 42834 in binary?
1010011101010010 (hexadecimal A752, octal 123522).
What is the square root of 42834?
About 206.9638, exactly 11√354.
Is 42834 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42834?
42834 is a happy number: repeatedly adding the squares of its digits reaches 1.