The number 22033
22033 is a composite number with 4 divisors. Its prime factorisation is 11 × 2003. Divisors (4): 1, 11, 2003, 22033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22033: a semiprime: 11 × 2003, the product of two primes.
- 2
22033 is composite. Its prime factorisation is
- 3
The divisors add up to 24048; without 22033 itself that is 2015, so 22033 is deficient (2015 is less than 22033). Euler's totient φ(22033) = 20020 numbers up to 22033 share no factor with it.
- 4
The digits of 22033 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22033 = 11 \times 2003 \]
22033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 24048 |
| Euler totient φ(n) | 20020 |
| Square | 485453089 |
| Cube | 10695987909937 |
| Square root | 148.435171 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2033 × |
22033 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and thirty-three |
| Binary (base 2) | 101011000010001 |
| Octal (base 8) | 53021 |
| Hexadecimal (base 16) | 5611 |
| Base 3 | 1010020001 |
| As time | 22033 seconds = 6 h 7 min 13 s |
Is 22033 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 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (22033 ÷ 11 = 2003) | 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 22033 a prime number?
No. 22033 = 11 × 2003, so it is divisible by 11.
What are the factors of 22033?
1, 11, 2003, 22033.
What is 22033 in binary?
101011000010001 (hexadecimal 5611, octal 53021).
What is the square root of 22033?
About 148.4352.
Is 22033 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 22033?
22033 is a semiprime: 11 × 2003, the product of two primes.