The number 73033
73033 is a composite number with 4 divisors. Its prime factorisation is 199 × 367. Divisors (4): 1, 199, 367, 73033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73033: a semiprime: 199 × 367, the product of two primes.
- 2
73033 is composite. Its prime factorisation is
- 3
The divisors add up to 73600; without 73033 itself that is 567, so 73033 is deficient (567 is less than 73033). Euler's totient φ(73033) = 72468 numbers up to 73033 share no factor with it.
- 4
The digits of 73033 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73033 = 199 \times 367 \]
73033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73600 |
| Euler totient φ(n) | 72468 |
| Square | 5333819089 |
| Cube | 389544809526937 |
| Square root | 270.246184 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3033 × |
73033 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and thirty-three |
| Binary (base 2) | 10001110101001001 |
| Octal (base 8) | 216511 |
| Hexadecimal (base 16) | 11D49 |
| Base 3 | 10201011221 |
| As time | 73033 seconds = 20 h 17 min 13 s |
Is 73033 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 2) | 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 7) | 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 4) | 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 73033 a prime number?
No. 73033 = 199 × 367, so it is divisible by 199.
What are the factors of 73033?
1, 199, 367, 73033.
What is 73033 in binary?
10001110101001001 (hexadecimal 11D49, octal 216511).
What is the square root of 73033?
About 270.2462.
Is 73033 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73033?
73033 is a semiprime: 199 × 367, the product of two primes.