The number 42189
42189 is a composite number with 16 divisors. Its prime factorisation is 3 × × 41. Divisors (16): 1, 3, 7, 21, 41, 49, 123, 147, 287, 343, 861, 1029, 2009, 6027, 14063, 42189.
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How to work it out
- 1
42189 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42189 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 42189 itself that is 25011, so 42189 is deficient (25011 is less than 42189). Euler's totient φ(42189) = 23520 numbers up to 42189 share no factor with it.
- 4
The digits of 42189 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42189 = 3 \times 7^{3} \times 41 \]42189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 23520 |
| Square | 1779911721 |
| Cube | 75092695597269 |
| Square root | 205.399611 (= 7√861) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2189 × |
42189 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and eighty-nine |
| Binary (base 2) | 1010010011001101 |
| Octal (base 8) | 122315 |
| Hexadecimal (base 16) | A4CD |
| Base 3 | 2010212120 |
| As time | 42189 seconds = 11 h 43 min 9 s |
Is 42189 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 (42189 ÷ 3 = 14063) | 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 4) | 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 | Yes (42189 ÷ 7 = 6027) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 42189 a prime number?
No. 42189 = 3 × × 41, so it is divisible by 3.
What are the factors of 42189?
1, 3, 7, 21, 41, 49, 123, 147, 287, 343, 861, 1029, 2009, 6027, 14063, 42189.
What is 42189 in binary?
1010010011001101 (hexadecimal A4CD, octal 122315).
What is the square root of 42189?
About 205.3996, exactly 7√861.
Is 42189 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42189?
It is a composite number with 16 divisors.