The number 42111
42111 is a composite number with 6 divisors. Its prime factorisation is × 4679. Divisors (6): 1, 3, 9, 4679, 14037, 42111.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42111: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
42111 is composite. Its prime factorisation is
- 3
The divisors add up to 60840; without 42111 itself that is 18729, so 42111 is deficient (18729 is less than 42111). Euler's totient φ(42111) = 28068 numbers up to 42111 share no factor with it.
- 4
The digits of 42111 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42111 = 3^{2} \times 4679 \]42111 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 60840 |
| Euler totient φ(n) | 28068 |
| Square | 1773336321 |
| Cube | 74676965813631 |
| Square root | 205.209649 (= 3√4679) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 225 |
| Scientific notation | 4.2111 × |
42111 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and eleven |
| Binary (base 2) | 1010010001111111 |
| Octal (base 8) | 122177 |
| Hexadecimal (base 16) | A47F |
| Base 3 | 2010202200 |
| As time | 42111 seconds = 11 h 41 min 51 s |
Is 42111 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 (42111 ÷ 3 = 14037) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42111 ÷ 9 = 4679) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42111 a prime number?
No. 42111 = × 4679, so it is divisible by 3.
What are the factors of 42111?
1, 3, 9, 4679, 14037, 42111.
What is 42111 in binary?
1010010001111111 (hexadecimal A47F, octal 122177).
What is the square root of 42111?
About 205.2096, exactly 3√4679.
Is 42111 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 42111?
42111 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.