The number 33122
33122 is a composite number with 4 divisors. Its prime factorisation is 2 × 16561. Divisors (4): 1, 2, 16561, 33122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33122: a semiprime: 2 × 16561, the product of two primes.
- 2
33122 is composite. Its prime factorisation is
- 3
The divisors add up to 49686; without 33122 itself that is 16564, so 33122 is deficient (16564 is less than 33122). Euler's totient φ(33122) = 16560 numbers up to 33122 share no factor with it.
- 4
The digits of 33122 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33122 = 2 \times 16561 \]
33122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49686 |
| Euler totient φ(n) | 16560 |
| Square | 1097066884 |
| Cube | 36337049331848 |
| Square root | 181.994505 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3122 × |
33122 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and twenty-two |
| Binary (base 2) | 1000000101100010 |
| Octal (base 8) | 100542 |
| Hexadecimal (base 16) | 8162 |
| Base 3 | 1200102202 |
| As time | 33122 seconds = 9 h 12 min 2 s |
Is 33122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33122 ÷ 2 = 16561) | 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 5) | 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 2) | 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 1) | 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 33122 a prime number?
No. 33122 = 2 × 16561, so it is divisible by 2.
What are the factors of 33122?
1, 2, 16561, 33122.
What is 33122 in binary?
1000000101100010 (hexadecimal 8162, octal 100542).
What is the square root of 33122?
About 181.9945.
Is 33122 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 33122?
33122 is a semiprime: 2 × 16561, the product of two primes.