The number 17842
17842 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 811. Divisors (8): 1, 2, 11, 22, 811, 1622, 8921, 17842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17842: a Harshad number: divisible by its digit sum 22.
- 2
17842 is composite. Its prime factorisation is
- 3
The divisors add up to 29232; without 17842 itself that is 11390, so 17842 is deficient (11390 is less than 17842). Euler's totient φ(17842) = 8100 numbers up to 17842 share no factor with it.
- 4
The digits of 17842 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17842 = 2 \times 11 \times 811 \]
17842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 29232 |
| Euler totient φ(n) | 8100 |
| Square | 318336964 |
| Cube | 5679768111688 |
| Square root | 133.573950 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.7842 × |
17842 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand eight hundred and forty-two |
| Binary (base 2) | 100010110110010 |
| Octal (base 8) | 42662 |
| Hexadecimal (base 16) | 45B2 |
| Base 3 | 220110211 |
| As time | 17842 seconds = 4 h 57 min 22 s |
Is 17842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17842 ÷ 2 = 8921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (17842 ÷ 11 = 1622) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17842 a prime number?
No. 17842 = 2 × 11 × 811, so it is divisible by 2.
What are the factors of 17842?
1, 2, 11, 22, 811, 1622, 8921, 17842.
What is 17842 in binary?
100010110110010 (hexadecimal 45B2, octal 42662).
What is the square root of 17842?
About 133.5739.
Is 17842 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 17842?
17842 is a Harshad number: divisible by its digit sum 22.