The number 33722
33722 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1297. Divisors (8): 1, 2, 13, 26, 1297, 2594, 16861, 33722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33722 is composite. Its prime factorisation is
- 3
The divisors add up to 54516; without 33722 itself that is 20794, so 33722 is deficient (20794 is less than 33722). Euler's totient φ(33722) = 15552 numbers up to 33722 share no factor with it.
- 4
The digits of 33722 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33722 = 2 \times 13 \times 1297 \]
33722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54516 |
| Euler totient φ(n) | 15552 |
| Square | 1137173284 |
| Cube | 38347757483048 |
| Square root | 183.635509 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3722 × |
33722 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and twenty-two |
| Binary (base 2) | 1000001110111010 |
| Octal (base 8) | 101672 |
| Hexadecimal (base 16) | 83BA |
| Base 3 | 1201020222 |
| As time | 33722 seconds = 9 h 22 min 2 s |
Is 33722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33722 ÷ 2 = 16861) | 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 3) | 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 7) | 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 33722 a prime number?
No. 33722 = 2 × 13 × 1297, so it is divisible by 2.
What are the factors of 33722?
1, 2, 13, 26, 1297, 2594, 16861, 33722.
What is 33722 in binary?
1000001110111010 (hexadecimal 83BA, octal 101672).
What is the square root of 33722?
About 183.6355.
Is 33722 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33722?
It is a composite number with 8 divisors.