The number 33022
33022 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 19 × 79. Divisors (16): 1, 2, 11, 19, 22, 38, 79, 158, 209, 418, 869, 1501, 1738, 3002, 16511, 33022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33022 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33022 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 33022 itself that is 24578, so 33022 is deficient (24578 is less than 33022). Euler's totient φ(33022) = 14040 numbers up to 33022 share no factor with it.
- 4
The digits of 33022 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33022 = 2 \times 11 \times 19 \times 79 \]
33022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 14040 |
| Square | 1090452484 |
| Cube | 36008921926648 |
| Square root | 181.719564 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.3022 × |
33022 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and twenty-two |
| Binary (base 2) | 1000000011111110 |
| Octal (base 8) | 100376 |
| Hexadecimal (base 16) | 80FE |
| Base 3 | 1200022001 |
| As time | 33022 seconds = 9 h 10 min 22 s |
Is 33022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33022 ÷ 2 = 16511) | 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 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 6) | 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 | Yes (33022 ÷ 11 = 3002) | 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 33022 a prime number?
No. 33022 = 2 × 11 × 19 × 79, so it is divisible by 2.
What are the factors of 33022?
1, 2, 11, 19, 22, 38, 79, 158, 209, 418, 869, 1501, 1738, 3002, 16511, 33022.
What is 33022 in binary?
1000000011111110 (hexadecimal 80FE, octal 100376).
What is the square root of 33022?
About 181.7196.
Is 33022 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33022?
It is a composite number with 16 divisors.