The number 42696
42696 is a composite number with 24 divisors. Its prime factorisation is × × 593. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 593, 1186, 1779, 2372 … 42696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42696 is composite. Its prime factorisation is
- 3
The divisors add up to 115830; without 42696 itself that is 73134, so 42696 is abundant (73134 is more than 42696). Euler's totient φ(42696) = 14208 numbers up to 42696 share no factor with it.
- 4
The digits of 42696 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42696 = 2^{3} \times 3^{2} \times 593 \]42696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 115830 |
| Euler totient φ(n) | 14208 |
| Square | 1822948416 |
| Cube | 77832605569536 |
| Square root | 206.630104 (= 6√1186) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2696 × |
42696 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and ninety-six |
| Binary (base 2) | 1010011011001000 |
| Octal (base 8) | 123310 |
| Hexadecimal (base 16) | A6C8 |
| Base 3 | 2011120100 |
| As time | 42696 seconds = 11 h 51 min 36 s |
Is 42696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42696 ÷ 2 = 21348) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42696 ÷ 3 = 14232) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42696 ÷ 4 = 10674) | 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 (42696 ÷ 6 = 7116) | 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 | Yes (42696 ÷ 8 = 5337) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42696 ÷ 9 = 4744) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42696 ÷ 12 = 3558) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42696 a prime number?
No. 42696 = × × 593, so it is divisible by 2.
What are the factors of 42696?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 593, 1186, 1779, 2372, 3558, 4744, 5337, 7116, 10674, 14232, 21348, 42696.
What is 42696 in binary?
1010011011001000 (hexadecimal A6C8, octal 123310).
What is the square root of 42696?
About 206.6301, exactly 6√1186.
Is 42696 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42696?
It is a composite number with 24 divisors.