The number 42136
42136 is a composite number with 16 divisors. Its prime factorisation is × 23 × 229. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 229, 458, 916, 1832, 5267, 10534, 21068, 42136.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42136 is composite. Its prime factorisation is
- 3
The divisors add up to 82800; without 42136 itself that is 40664, so 42136 is deficient (40664 is less than 42136). Euler's totient φ(42136) = 20064 numbers up to 42136 share no factor with it.
- 4
The digits of 42136 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42136 = 2^{3} \times 23 \times 229 \]42136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82800 |
| Euler totient φ(n) | 20064 |
| Square | 1775442496 |
| Cube | 74810045011456 |
| Square root | 205.270553 (= 2√10534) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2136 × |
42136 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and thirty-six |
| Binary (base 2) | 1010010010011000 |
| Octal (base 8) | 122230 |
| Hexadecimal (base 16) | A498 |
| Base 3 | 2010210121 |
| As time | 42136 seconds = 11 h 42 min 16 s |
Is 42136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42136 ÷ 2 = 21068) | 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 (42136 ÷ 4 = 10534) | 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 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 (42136 ÷ 8 = 5267) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 42136 a prime number?
No. 42136 = × 23 × 229, so it is divisible by 2.
What are the factors of 42136?
1, 2, 4, 8, 23, 46, 92, 184, 229, 458, 916, 1832, 5267, 10534, 21068, 42136.
What is 42136 in binary?
1010010010011000 (hexadecimal A498, octal 122230).
What is the square root of 42136?
About 205.2706, exactly 2√10534.
Is 42136 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42136?
It is a composite number with 16 divisors.