The number 42262
42262 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 113. Divisors (16): 1, 2, 11, 17, 22, 34, 113, 187, 226, 374, 1243, 1921, 2486, 3842, 21131, 42262.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42262 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42262 is composite. Its prime factorisation is
- 3
The divisors add up to 73872; without 42262 itself that is 31610, so 42262 is deficient (31610 is less than 42262). Euler's totient φ(42262) = 17920 numbers up to 42262 share no factor with it.
- 4
The digits of 42262 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42262 = 2 \times 11 \times 17 \times 113 \]
42262 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73872 |
| Euler totient φ(n) | 17920 |
| Square | 1786076644 |
| Cube | 75483171128728 |
| Square root | 205.577236 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2262 × |
42262 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and sixty-two |
| Binary (base 2) | 1010010100010110 |
| Octal (base 8) | 122426 |
| Hexadecimal (base 16) | A516 |
| Base 3 | 2010222021 |
| As time | 42262 seconds = 11 h 44 min 22 s |
Is 42262 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42262 ÷ 2 = 21131) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42262 ÷ 11 = 3842) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42262 a prime number?
No. 42262 = 2 × 11 × 17 × 113, so it is divisible by 2.
What are the factors of 42262?
1, 2, 11, 17, 22, 34, 113, 187, 226, 374, 1243, 1921, 2486, 3842, 21131, 42262.
What is 42262 in binary?
1010010100010110 (hexadecimal A516, octal 122426).
What is the square root of 42262?
About 205.5772.
Is 42262 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42262?
It is a composite number with 16 divisors.