The number 42836
42836 is a composite number with 6 divisors. Its prime factorisation is × 10709. Divisors (6): 1, 2, 4, 10709, 21418, 42836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42836: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42836 is composite. Its prime factorisation is
- 3
The divisors add up to 74970; without 42836 itself that is 32134, so 42836 is deficient (32134 is less than 42836). Euler's totient φ(42836) = 21416 numbers up to 42836 share no factor with it.
- 4
The digits of 42836 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42836 = 2^{2} \times 10709 \]42836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74970 |
| Euler totient φ(n) | 21416 |
| Square | 1834922896 |
| Cube | 78600757173056 |
| Square root | 206.968597 (= 2√10709) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2836 × |
42836 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and thirty-six |
| Binary (base 2) | 1010011101010100 |
| Octal (base 8) | 123524 |
| Hexadecimal (base 16) | A754 |
| Base 3 | 2011202112 |
| As time | 42836 seconds = 11 h 53 min 56 s |
Is 42836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42836 ÷ 2 = 21418) | 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 (42836 ÷ 4 = 10709) | 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 | 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 | No (remainder 4) | 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 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42836 a prime number?
No. 42836 = × 10709, so it is divisible by 2.
What are the factors of 42836?
1, 2, 4, 10709, 21418, 42836.
What is 42836 in binary?
1010011101010100 (hexadecimal A754, octal 123524).
What is the square root of 42836?
About 206.9686, exactly 2√10709.
Is 42836 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42836?
42836 is a happy number: repeatedly adding the squares of its digits reaches 1.