The number 42267
42267 is a composite number with 8 divisors. Its prime factorisation is 3 × 73 × 193. Divisors (8): 1, 3, 73, 193, 219, 579, 14089, 42267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42267: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42267 is composite. Its prime factorisation is
- 3
The divisors add up to 57424; without 42267 itself that is 15157, so 42267 is deficient (15157 is less than 42267). Euler's totient φ(42267) = 27648 numbers up to 42267 share no factor with it.
- 4
The digits of 42267 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42267 = 3 \times 73 \times 193 \]
42267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57424 |
| Euler totient φ(n) | 27648 |
| Square | 1786499289 |
| Cube | 75509965448163 |
| Square root | 205.589397 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2267 × |
42267 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and sixty-seven |
| Binary (base 2) | 1010010100011011 |
| Octal (base 8) | 122433 |
| Hexadecimal (base 16) | A51B |
| Base 3 | 2010222110 |
| As time | 42267 seconds = 11 h 44 min 27 s |
Is 42267 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 (42267 ÷ 3 = 14089) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42267 a prime number?
No. 42267 = 3 × 73 × 193, so it is divisible by 3.
What are the factors of 42267?
1, 3, 73, 193, 219, 579, 14089, 42267.
What is 42267 in binary?
1010010100011011 (hexadecimal A51B, octal 122433).
What is the square root of 42267?
About 205.5894.
Is 42267 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42267?
42267 is a happy number: repeatedly adding the squares of its digits reaches 1.