The number 17642
17642 is a composite number with 4 divisors. Its prime factorisation is 2 × 8821. Divisors (4): 1, 2, 8821, 17642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17642: a semiprime: 2 × 8821, the product of two primes.
- 2
17642 is composite. Its prime factorisation is
- 3
The divisors add up to 26466; without 17642 itself that is 8824, so 17642 is deficient (8824 is less than 17642). Euler's totient φ(17642) = 8820 numbers up to 17642 share no factor with it.
- 4
The digits of 17642 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17642 = 2 \times 8821 \]
17642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 26466 |
| Euler totient φ(n) | 8820 |
| Square | 311240164 |
| Cube | 5490898973288 |
| Square root | 132.823191 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7642 × |
17642 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand six hundred and forty-two |
| Binary (base 2) | 100010011101010 |
| Octal (base 8) | 42352 |
| Hexadecimal (base 16) | 44EA |
| Base 3 | 220012102 |
| As time | 17642 seconds = 4 h 54 min 2 s |
Is 17642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17642 ÷ 2 = 8821) | 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 | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17642 a prime number?
No. 17642 = 2 × 8821, so it is divisible by 2.
What are the factors of 17642?
1, 2, 8821, 17642.
What is 17642 in binary?
100010011101010 (hexadecimal 44EA, octal 42352).
What is the square root of 17642?
About 132.8232.
Is 17642 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 17642?
17642 is a semiprime: 2 × 8821, the product of two primes.