The number 42092
42092 is a composite number with 12 divisors. Its prime factorisation is × 17 × 619. Divisors (12): 1, 2, 4, 17, 34, 68, 619, 1238, 2476, 10523, 21046, 42092.
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How to work it out
- 1
What is special about 42092: a Harshad number: divisible by its digit sum 17.
- 2
42092 is composite. Its prime factorisation is
- 3
The divisors add up to 78120; without 42092 itself that is 36028, so 42092 is deficient (36028 is less than 42092). Euler's totient φ(42092) = 19776 numbers up to 42092 share no factor with it.
- 4
The digits of 42092 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42092 = 2^{2} \times 17 \times 619 \]42092 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78120 |
| Euler totient φ(n) | 19776 |
| Square | 1771736464 |
| Cube | 74575931242688 |
| Square root | 205.163350 (= 2√10523) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.2092 × |
42092 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and ninety-two |
| Binary (base 2) | 1010010001101100 |
| Octal (base 8) | 122154 |
| Hexadecimal (base 16) | A46C |
| Base 3 | 2010201222 |
| As time | 42092 seconds = 11 h 41 min 32 s |
Is 42092 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42092 ÷ 2 = 21046) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42092 ÷ 4 = 10523) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42092 a prime number?
No. 42092 = × 17 × 619, so it is divisible by 2.
What are the factors of 42092?
1, 2, 4, 17, 34, 68, 619, 1238, 2476, 10523, 21046, 42092.
What is 42092 in binary?
1010010001101100 (hexadecimal A46C, octal 122154).
What is the square root of 42092?
About 205.1633, exactly 2√10523.
Is 42092 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42092?
42092 is a Harshad number: divisible by its digit sum 17.