The number 32773
32773 is a composite number with 4 divisors. Its prime factorisation is 13 × 2521. Divisors (4): 1, 13, 2521, 32773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32773: a semiprime: 13 × 2521, the product of two primes.
- 2
32773 is composite. Its prime factorisation is
- 3
The divisors add up to 35308; without 32773 itself that is 2535, so 32773 is deficient (2535 is less than 32773). Euler's totient φ(32773) = 30240 numbers up to 32773 share no factor with it.
- 4
The digits of 32773 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32773 = 13 \times 2521 \]
32773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 35308 |
| Euler totient φ(n) | 30240 |
| Square | 1074069529 |
| Cube | 35200480673917 |
| Square root | 181.033146 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.2773 × |
32773 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and seventy-three |
| Binary (base 2) | 1000000000000101 |
| Octal (base 8) | 100005 |
| Hexadecimal (base 16) | 8005 |
| Base 3 | 1122221211 |
| As time | 32773 seconds = 9 h 6 min 13 s |
Is 32773 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32773 a prime number?
No. 32773 = 13 × 2521, so it is divisible by 13.
What are the factors of 32773?
1, 13, 2521, 32773.
What is 32773 in binary?
1000000000000101 (hexadecimal 8005, octal 100005).
What is the square root of 32773?
About 181.0331.
Is 32773 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32773?
32773 is a semiprime: 13 × 2521, the product of two primes.