The number 42596
42596 is a composite number with 12 divisors. Its prime factorisation is × 23 × 463. Divisors (12): 1, 2, 4, 23, 46, 92, 463, 926, 1852, 10649, 21298, 42596.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42596 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42596 is composite. Its prime factorisation is
- 3
The divisors add up to 77952; without 42596 itself that is 35356, so 42596 is deficient (35356 is less than 42596). Euler's totient φ(42596) = 20328 numbers up to 42596 share no factor with it.
- 4
The digits of 42596 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42596 = 2^{2} \times 23 \times 463 \]42596 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77952 |
| Euler totient φ(n) | 20328 |
| Square | 1814419216 |
| Cube | 77287000924736 |
| Square root | 206.387984 (= 2√10649) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2596 × |
42596 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and ninety-six |
| Binary (base 2) | 1010011001100100 |
| Octal (base 8) | 123144 |
| Hexadecimal (base 16) | A664 |
| Base 3 | 2011102122 |
| As time | 42596 seconds = 11 h 49 min 56 s |
Is 42596 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42596 ÷ 2 = 21298) | 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 (42596 ÷ 4 = 10649) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | 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 42596 a prime number?
No. 42596 = × 23 × 463, so it is divisible by 2.
What are the factors of 42596?
1, 2, 4, 23, 46, 92, 463, 926, 1852, 10649, 21298, 42596.
What is 42596 in binary?
1010011001100100 (hexadecimal A664, octal 123144).
What is the square root of 42596?
About 206.3880, exactly 2√10649.
Is 42596 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42596?
It is a composite number with 12 divisors.