The number 42396
42396 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3533. Divisors (12): 1, 2, 3, 4, 6, 12, 3533, 7066, 10599, 14132, 21198, 42396.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42396 is composite. Its prime factorisation is
- 3
The divisors add up to 98952; without 42396 itself that is 56556, so 42396 is abundant (56556 is more than 42396). Euler's totient φ(42396) = 14128 numbers up to 42396 share no factor with it.
- 4
The digits of 42396 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42396 = 2^{2} \times 3 \times 3533 \]42396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98952 |
| Euler totient φ(n) | 14128 |
| Square | 1797420816 |
| Cube | 76203452915136 |
| Square root | 205.902890 (= 2√10599) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.2396 × |
42396 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and ninety-six |
| Binary (base 2) | 1010010110011100 |
| Octal (base 8) | 122634 |
| Hexadecimal (base 16) | A59C |
| Base 3 | 2011011020 |
| As time | 42396 seconds = 11 h 46 min 36 s |
Is 42396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42396 ÷ 2 = 21198) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42396 ÷ 3 = 14132) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42396 ÷ 4 = 10599) | 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 (42396 ÷ 6 = 7066) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (42396 ÷ 12 = 3533) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42396 a prime number?
No. 42396 = × 3 × 3533, so it is divisible by 2.
What are the factors of 42396?
1, 2, 3, 4, 6, 12, 3533, 7066, 10599, 14132, 21198, 42396.
What is 42396 in binary?
1010010110011100 (hexadecimal A59C, octal 122634).
What is the square root of 42396?
About 205.9029, exactly 2√10599.
Is 42396 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42396?
It is a composite number with 12 divisors.