The number 42238
42238 is a composite number with 12 divisors. Its prime factorisation is 2 × × 431. Divisors (12): 1, 2, 7, 14, 49, 98, 431, 862, 3017, 6034, 21119, 42238.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42238: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42238 is composite. Its prime factorisation is
- 3
The divisors add up to 73872; without 42238 itself that is 31634, so 42238 is deficient (31634 is less than 42238). Euler's totient φ(42238) = 18060 numbers up to 42238 share no factor with it.
- 4
The digits of 42238 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42238 = 2 \times 7^{2} \times 431 \]42238 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73872 |
| Euler totient φ(n) | 18060 |
| Square | 1784048644 |
| Cube | 75354646625272 |
| Square root | 205.518856 (= 7√862) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2238 × |
42238 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and thirty-eight |
| Binary (base 2) | 1010010011111110 |
| Octal (base 8) | 122376 |
| Hexadecimal (base 16) | A4FE |
| Base 3 | 2010221101 |
| As time | 42238 seconds = 11 h 43 min 58 s |
Is 42238 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42238 ÷ 2 = 21119) | 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 3) | 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 | Yes (42238 ÷ 7 = 6034) | 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 1) | 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 9) | 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 42238 a prime number?
No. 42238 = 2 × × 431, so it is divisible by 2.
What are the factors of 42238?
1, 2, 7, 14, 49, 98, 431, 862, 3017, 6034, 21119, 42238.
What is 42238 in binary?
1010010011111110 (hexadecimal A4FE, octal 122376).
What is the square root of 42238?
About 205.5189, exactly 7√862.
Is 42238 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42238?
42238 is a happy number: repeatedly adding the squares of its digits reaches 1.