The number 42212
42212 is a composite number with 12 divisors. Its prime factorisation is × 61 × 173. Divisors (12): 1, 2, 4, 61, 122, 173, 244, 346, 692, 10553, 21106, 42212.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42212 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42212 is composite. Its prime factorisation is
- 3
The divisors add up to 75516; without 42212 itself that is 33304, so 42212 is deficient (33304 is less than 42212). Euler's totient φ(42212) = 20640 numbers up to 42212 share no factor with it.
- 4
The digits of 42212 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42212 = 2^{2} \times 61 \times 173 \]42212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75516 |
| Euler totient φ(n) | 20640 |
| Square | 1781852944 |
| Cube | 75215576472128 |
| Square root | 205.455591 (= 2√10553) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2212 × |
42212 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and twelve |
| Binary (base 2) | 1010010011100100 |
| Octal (base 8) | 122344 |
| Hexadecimal (base 16) | A4E4 |
| Base 3 | 2010220102 |
| As time | 42212 seconds = 11 h 43 min 32 s |
Is 42212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42212 ÷ 2 = 21106) | 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 (42212 ÷ 4 = 10553) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 | No (remainder 5) | 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 42212 a prime number?
No. 42212 = × 61 × 173, so it is divisible by 2.
What are the factors of 42212?
1, 2, 4, 61, 122, 173, 244, 346, 692, 10553, 21106, 42212.
What is 42212 in binary?
1010010011100100 (hexadecimal A4E4, octal 122344).
What is the square root of 42212?
About 205.4556, exactly 2√10553.
Is 42212 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42212?
It is a composite number with 12 divisors.