The number 42736
42736 is a composite number with 10 divisors. Its prime factorisation is × 2671. Divisors (10): 1, 2, 4, 8, 16, 2671, 5342, 10684, 21368, 42736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42736 is composite. Its prime factorisation is
- 3
The divisors add up to 82832; without 42736 itself that is 40096, so 42736 is deficient (40096 is less than 42736). Euler's totient φ(42736) = 21360 numbers up to 42736 share no factor with it.
- 4
The digits of 42736 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42736 = 2^{4} \times 2671 \]42736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 82832 |
| Euler totient φ(n) | 21360 |
| Square | 1826365696 |
| Cube | 78051564384256 |
| Square root | 206.726873 (= 4√2671) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2736 × |
42736 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and thirty-six |
| Binary (base 2) | 1010011011110000 |
| Octal (base 8) | 123360 |
| Hexadecimal (base 16) | A6F0 |
| Base 3 | 2011121211 |
| As time | 42736 seconds = 11 h 52 min 16 s |
Is 42736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42736 ÷ 2 = 21368) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42736 ÷ 4 = 10684) | 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 4) | 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 | Yes (42736 ÷ 8 = 5342) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42736 a prime number?
No. 42736 = × 2671, so it is divisible by 2.
What are the factors of 42736?
1, 2, 4, 8, 16, 2671, 5342, 10684, 21368, 42736.
What is 42736 in binary?
1010011011110000 (hexadecimal A6F0, octal 123360).
What is the square root of 42736?
About 206.7269, exactly 4√2671.
Is 42736 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42736?
It is a composite number with 10 divisors.