The number 32842
32842 is a composite number with 4 divisors. Its prime factorisation is 2 × 16421. Divisors (4): 1, 2, 16421, 32842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32842: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16421, the product of two primes.
- 2
32842 is composite. Its prime factorisation is
- 3
The divisors add up to 49266; without 32842 itself that is 16424, so 32842 is deficient (16424 is less than 32842). Euler's totient φ(32842) = 16420 numbers up to 32842 share no factor with it.
- 4
The digits of 32842 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32842 = 2 \times 16421 \]
32842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49266 |
| Euler totient φ(n) | 16420 |
| Square | 1078596964 |
| Cube | 35423281491688 |
| Square root | 181.223619 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2842 × |
32842 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and forty-two |
| Binary (base 2) | 1000000001001010 |
| Octal (base 8) | 100112 |
| Hexadecimal (base 16) | 804A |
| Base 3 | 1200001101 |
| As time | 32842 seconds = 9 h 7 min 22 s |
Is 32842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32842 ÷ 2 = 16421) | 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 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 | No (remainder 1) | 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 7) | 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 32842 a prime number?
No. 32842 = 2 × 16421, so it is divisible by 2.
What are the factors of 32842?
1, 2, 16421, 32842.
What is 32842 in binary?
1000000001001010 (hexadecimal 804A, octal 100112).
What is the square root of 32842?
About 181.2236.
Is 32842 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 32842?
32842 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16421, the product of two primes.