The number 33109
33109 is a composite number with 4 divisors. Its prime factorisation is 113 × 293. Divisors (4): 1, 113, 293, 33109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33109: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 113 × 293, the product of two primes.
- 2
33109 is composite. Its prime factorisation is
- 3
The divisors add up to 33516; without 33109 itself that is 407, so 33109 is deficient (407 is less than 33109). Euler's totient φ(33109) = 32704 numbers up to 33109 share no factor with it.
- 4
The digits of 33109 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33109 = 113 \times 293 \]
33109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 33516 |
| Euler totient φ(n) | 32704 |
| Square | 1096205881 |
| Cube | 36294280514029 |
| Square root | 181.958787 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3109 × |
33109 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and nine |
| Binary (base 2) | 1000000101010101 |
| Octal (base 8) | 100525 |
| Hexadecimal (base 16) | 8155 |
| Base 3 | 1200102021 |
| As time | 33109 seconds = 9 h 11 min 49 s |
Is 33109 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 4) | 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 6) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 33109 a prime number?
No. 33109 = 113 × 293, so it is divisible by 113.
What are the factors of 33109?
1, 113, 293, 33109.
What is 33109 in binary?
1000000101010101 (hexadecimal 8155, octal 100525).
What is the square root of 33109?
About 181.9588.
Is 33109 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33109?
33109 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 113 × 293, the product of two primes.