The number 42183
42183 is a composite number with 12 divisors. Its prime factorisation is × 43 × 109. Divisors (12): 1, 3, 9, 43, 109, 129, 327, 387, 981, 4687, 14061, 42183.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42183: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42183 is composite. Its prime factorisation is
- 3
The divisors add up to 62920; without 42183 itself that is 20737, so 42183 is deficient (20737 is less than 42183). Euler's totient φ(42183) = 27216 numbers up to 42183 share no factor with it.
- 4
The digits of 42183 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42183 = 3^{2} \times 43 \times 109 \]42183 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62920 |
| Euler totient φ(n) | 27216 |
| Square | 1779405489 |
| Cube | 75060661742487 |
| Square root | 205.385004 (= 3√4687) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2183 × |
42183 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and eighty-three |
| Binary (base 2) | 1010010011000111 |
| Octal (base 8) | 122307 |
| Hexadecimal (base 16) | A4C7 |
| Base 3 | 2010212100 |
| As time | 42183 seconds = 11 h 43 min 3 s |
Is 42183 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 (42183 ÷ 3 = 14061) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42183 ÷ 9 = 4687) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42183 a prime number?
No. 42183 = × 43 × 109, so it is divisible by 3.
What are the factors of 42183?
1, 3, 9, 43, 109, 129, 327, 387, 981, 4687, 14061, 42183.
What is 42183 in binary?
1010010011000111 (hexadecimal A4C7, octal 122307).
What is the square root of 42183?
About 205.3850, exactly 3√4687.
Is 42183 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42183?
42183 is a happy number: repeatedly adding the squares of its digits reaches 1.