The number 33673
33673 is a composite number with 4 divisors. Its prime factorisation is 151 × 223. Divisors (4): 1, 151, 223, 33673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33673: a semiprime: 151 × 223, the product of two primes.
- 2
33673 is composite. Its prime factorisation is
- 3
The divisors add up to 34048; without 33673 itself that is 375, so 33673 is deficient (375 is less than 33673). Euler's totient φ(33673) = 33300 numbers up to 33673 share no factor with it.
- 4
The digits of 33673 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33673 = 151 \times 223 \]
33673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34048 |
| Euler totient φ(n) | 33300 |
| Square | 1133870929 |
| Cube | 38180835792217 |
| Square root | 183.502044 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3673 × |
33673 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and seventy-three |
| Binary (base 2) | 1000001110001001 |
| Octal (base 8) | 101611 |
| Hexadecimal (base 16) | 8389 |
| Base 3 | 1201012011 |
| As time | 33673 seconds = 9 h 21 min 13 s |
Is 33673 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | 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 33673 a prime number?
No. 33673 = 151 × 223, so it is divisible by 151.
What are the factors of 33673?
1, 151, 223, 33673.
What is 33673 in binary?
1000001110001001 (hexadecimal 8389, octal 101611).
What is the square root of 33673?
About 183.5020.
Is 33673 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33673?
33673 is a semiprime: 151 × 223, the product of two primes.