The number 42188
42188 is a composite number with 12 divisors. Its prime factorisation is × 53 × 199. Divisors (12): 1, 2, 4, 53, 106, 199, 212, 398, 796, 10547, 21094, 42188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42188 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 42188 itself that is 33412, so 42188 is deficient (33412 is less than 42188). Euler's totient φ(42188) = 20592 numbers up to 42188 share no factor with it.
- 4
The digits of 42188 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42188 = 2^{2} \times 53 \times 199 \]42188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 20592 |
| Square | 1779827344 |
| Cube | 75087355988672 |
| Square root | 205.397176 (= 2√10547) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2188 × |
42188 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and eighty-eight |
| Binary (base 2) | 1010010011001100 |
| Octal (base 8) | 122314 |
| Hexadecimal (base 16) | A4CC |
| Base 3 | 2010212112 |
| As time | 42188 seconds = 11 h 43 min 8 s |
Is 42188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42188 ÷ 2 = 21094) | 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 (42188 ÷ 4 = 10547) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 42188 a prime number?
No. 42188 = × 53 × 199, so it is divisible by 2.
What are the factors of 42188?
1, 2, 4, 53, 106, 199, 212, 398, 796, 10547, 21094, 42188.
What is 42188 in binary?
1010010011001100 (hexadecimal A4CC, octal 122314).
What is the square root of 42188?
About 205.3972, exactly 2√10547.
Is 42188 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42188?
It is a composite number with 12 divisors.