The number 32642
32642 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 859. Divisors (8): 1, 2, 19, 38, 859, 1718, 16321, 32642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32642 is composite. Its prime factorisation is
- 3
The divisors add up to 51600; without 32642 itself that is 18958, so 32642 is deficient (18958 is less than 32642). Euler's totient φ(32642) = 15444 numbers up to 32642 share no factor with it.
- 4
The digits of 32642 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32642 = 2 \times 19 \times 859 \]
32642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51600 |
| Euler totient φ(n) | 15444 |
| Square | 1065500164 |
| Cube | 34780056353288 |
| Square root | 180.670972 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2642 × |
32642 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and forty-two |
| Binary (base 2) | 111111110000010 |
| Octal (base 8) | 77602 |
| Hexadecimal (base 16) | 7F82 |
| Base 3 | 1122202222 |
| As time | 32642 seconds = 9 h 4 min 2 s |
Is 32642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32642 ÷ 2 = 16321) | 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 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 2) | 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 5) | 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 32642 a prime number?
No. 32642 = 2 × 19 × 859, so it is divisible by 2.
What are the factors of 32642?
1, 2, 19, 38, 859, 1718, 16321, 32642.
What is 32642 in binary?
111111110000010 (hexadecimal 7F82, octal 77602).
What is the square root of 32642?
About 180.6710.
Is 32642 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 32642?
It is a composite number with 8 divisors.