The number 42642
42642 is a composite number with 24 divisors. Its prime factorisation is 2 × × 23 × 103. Divisors (24): 1, 2, 3, 6, 9, 18, 23, 46, 69, 103, 138, 206, 207, 309, 414, 618 … 42642.
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How to work it out
- 1
What is special about 42642: a Harshad number: divisible by its digit sum 18.
- 2
42642 is composite. Its prime factorisation is
- 3
The divisors add up to 97344; without 42642 itself that is 54702, so 42642 is abundant (54702 is more than 42642). Euler's totient φ(42642) = 13464 numbers up to 42642 share no factor with it.
- 4
The digits of 42642 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42642 = 2 \times 3^{2} \times 23 \times 103 \]42642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 97344 |
| Euler totient φ(n) | 13464 |
| Square | 1818340164 |
| Cube | 77537661273288 |
| Square root | 206.499395 (= 3√4738) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2642 × |
42642 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and forty-two |
| Binary (base 2) | 1010011010010010 |
| Octal (base 8) | 123222 |
| Hexadecimal (base 16) | A692 |
| Base 3 | 2011111100 |
| As time | 42642 seconds = 11 h 50 min 42 s |
Is 42642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42642 ÷ 2 = 21321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42642 ÷ 3 = 14214) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (42642 ÷ 6 = 7107) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42642 ÷ 9 = 4738) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42642 a prime number?
No. 42642 = 2 × × 23 × 103, so it is divisible by 2.
What are the factors of 42642?
1, 2, 3, 6, 9, 18, 23, 46, 69, 103, 138, 206, 207, 309, 414, 618, 927, 1854, 2369, 4738, 7107, 14214, 21321, 42642.
What is 42642 in binary?
1010011010010010 (hexadecimal A692, octal 123222).
What is the square root of 42642?
About 206.4994, exactly 3√4738.
Is 42642 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42642?
42642 is a Harshad number: divisible by its digit sum 18.