The number 32827
32827 is a composite number with 4 divisors. Its prime factorisation is 17 × 1931. Divisors (4): 1, 17, 1931, 32827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32827: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 1931, the product of two primes.
- 2
32827 is composite. Its prime factorisation is
- 3
The divisors add up to 34776; without 32827 itself that is 1949, so 32827 is deficient (1949 is less than 32827). Euler's totient φ(32827) = 30880 numbers up to 32827 share no factor with it.
- 4
The digits of 32827 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32827 = 17 \times 1931 \]
32827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34776 |
| Euler totient φ(n) | 30880 |
| Square | 1077611929 |
| Cube | 35374766793283 |
| Square root | 181.182229 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2827 × |
32827 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and twenty-seven |
| Binary (base 2) | 1000000000111011 |
| Octal (base 8) | 100073 |
| Hexadecimal (base 16) | 803B |
| Base 3 | 1200000211 |
| As time | 32827 seconds = 9 h 7 min 7 s |
Is 32827 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32827 a prime number?
No. 32827 = 17 × 1931, so it is divisible by 17.
What are the factors of 32827?
1, 17, 1931, 32827.
What is 32827 in binary?
1000000000111011 (hexadecimal 803B, octal 100073).
What is the square root of 32827?
About 181.1822.
Is 32827 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32827?
32827 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 1931, the product of two primes.