The number 33823
33823 is a composite number with 4 divisors. Its prime factorisation is 149 × 227. Divisors (4): 1, 149, 227, 33823.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33823: a semiprime: 149 × 227, the product of two primes.
- 2
33823 is composite. Its prime factorisation is
- 3
The divisors add up to 34200; without 33823 itself that is 377, so 33823 is deficient (377 is less than 33823). Euler's totient φ(33823) = 33448 numbers up to 33823 share no factor with it.
- 4
The digits of 33823 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33823 = 149 \times 227 \]
33823 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34200 |
| Euler totient φ(n) | 33448 |
| Square | 1143995329 |
| Cube | 38693354012767 |
| Square root | 183.910304 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.3823 × |
33823 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and twenty-three |
| Binary (base 2) | 1000010000011111 |
| Octal (base 8) | 102037 |
| Hexadecimal (base 16) | 841F |
| Base 3 | 1201101201 |
| As time | 33823 seconds = 9 h 23 min 43 s |
Is 33823 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 3) | 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 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 7) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33823 a prime number?
No. 33823 = 149 × 227, so it is divisible by 149.
What are the factors of 33823?
1, 149, 227, 33823.
What is 33823 in binary?
1000010000011111 (hexadecimal 841F, octal 102037).
What is the square root of 33823?
About 183.9103.
Is 33823 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33823?
33823 is a semiprime: 149 × 227, the product of two primes.