The number 32722
32722 is a composite number with 4 divisors. Its prime factorisation is 2 × 16361. Divisors (4): 1, 2, 16361, 32722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32722: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16361, the product of two primes.
- 2
32722 is composite. Its prime factorisation is
- 3
The divisors add up to 49086; without 32722 itself that is 16364, so 32722 is deficient (16364 is less than 32722). Euler's totient φ(32722) = 16360 numbers up to 32722 share no factor with it.
- 4
The digits of 32722 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32722 = 2 \times 16361 \]
32722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49086 |
| Euler totient φ(n) | 16360 |
| Square | 1070729284 |
| Cube | 35036403631048 |
| Square root | 180.892233 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2722 × |
32722 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and twenty-two |
| Binary (base 2) | 111111111010010 |
| Octal (base 8) | 77722 |
| Hexadecimal (base 16) | 7FD2 |
| Base 3 | 1122212221 |
| As time | 32722 seconds = 9 h 5 min 22 s |
Is 32722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32722 ÷ 2 = 16361) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | 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 32722 a prime number?
No. 32722 = 2 × 16361, so it is divisible by 2.
What are the factors of 32722?
1, 2, 16361, 32722.
What is 32722 in binary?
111111111010010 (hexadecimal 7FD2, octal 77722).
What is the square root of 32722?
About 180.8922.
Is 32722 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32722?
32722 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16361, the product of two primes.