The number 42536
42536 is a composite number with 16 divisors. Its prime factorisation is × 13 × 409. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 409, 818, 1636, 3272, 5317, 10634, 21268, 42536.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42536 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42536 is composite. Its prime factorisation is
- 3
The divisors add up to 86100; without 42536 itself that is 43564, so 42536 is abundant (43564 is more than 42536). Euler's totient φ(42536) = 19584 numbers up to 42536 share no factor with it.
- 4
The digits of 42536 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42536 = 2^{3} \times 13 \times 409 \]42536 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86100 |
| Euler totient φ(n) | 19584 |
| Square | 1809311296 |
| Cube | 76960865286656 |
| Square root | 206.242576 (= 2√10634) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2536 × |
42536 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and thirty-six |
| Binary (base 2) | 1010011000101000 |
| Octal (base 8) | 123050 |
| Hexadecimal (base 16) | A628 |
| Base 3 | 2011100102 |
| As time | 42536 seconds = 11 h 48 min 56 s |
Is 42536 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42536 ÷ 2 = 21268) | 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 (42536 ÷ 4 = 10634) | 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 4) | 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 (42536 ÷ 8 = 5317) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | 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 42536 a prime number?
No. 42536 = × 13 × 409, so it is divisible by 2.
What are the factors of 42536?
1, 2, 4, 8, 13, 26, 52, 104, 409, 818, 1636, 3272, 5317, 10634, 21268, 42536.
What is 42536 in binary?
1010011000101000 (hexadecimal A628, octal 123050).
What is the square root of 42536?
About 206.2426, exactly 2√10634.
Is 42536 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42536?
It is a composite number with 16 divisors.