The number 42237
42237 is a composite number with 18 divisors. Its prime factorisation is × 13 × . Divisors (18): 1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 361, 741, 1083, 2223, 3249, 4693 … 42237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42237: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42237 is composite. Its prime factorisation is
- 3
The divisors add up to 69342; without 42237 itself that is 27105, so 42237 is deficient (27105 is less than 42237). Euler's totient φ(42237) = 24624 numbers up to 42237 share no factor with it.
- 4
The digits of 42237 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42237 = 3^{2} \times 13 \times 19^{2} \]42237 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 69342 |
| Euler totient φ(n) | 24624 |
| Square | 1783964169 |
| Cube | 75349294606053 |
| Square root | 205.516423 (= 57√13) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2237 × |
42237 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and thirty-seven |
| Binary (base 2) | 1010010011111101 |
| Octal (base 8) | 122375 |
| Hexadecimal (base 16) | A4FD |
| Base 3 | 2010221100 |
| As time | 42237 seconds = 11 h 43 min 57 s |
Is 42237 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42237 ÷ 3 = 14079) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42237 ÷ 9 = 4693) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42237 a prime number?
No. 42237 = × 13 × , so it is divisible by 3.
What are the factors of 42237?
1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 361, 741, 1083, 2223, 3249, 4693, 14079, 42237.
What is 42237 in binary?
1010010011111101 (hexadecimal A4FD, octal 122375).
What is the square root of 42237?
About 205.5164, exactly 57√13.
Is 42237 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42237?
42237 is a happy number: repeatedly adding the squares of its digits reaches 1.