The number 73313
73313 is a composite number with 4 divisors. Its prime factorisation is 167 × 439. Divisors (4): 1, 167, 439, 73313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73313: a semiprime: 167 × 439, the product of two primes.
- 2
73313 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 73313 itself that is 607, so 73313 is deficient (607 is less than 73313). Euler's totient φ(73313) = 72708 numbers up to 73313 share no factor with it.
- 4
The digits of 73313 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73313 = 167 \times 439 \]
73313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 72708 |
| Square | 5374795969 |
| Cube | 394042416875297 |
| Square root | 270.763735 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.3313 × |
73313 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and thirteen |
| Binary (base 2) | 10001111001100001 |
| Octal (base 8) | 217141 |
| Hexadecimal (base 16) | 11E61 |
| Base 3 | 10201120022 |
| As time | 73313 seconds = 20 h 21 min 53 s |
Is 73313 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 2) | 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 5) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73313 a prime number?
No. 73313 = 167 × 439, so it is divisible by 167.
What are the factors of 73313?
1, 167, 439, 73313.
What is 73313 in binary?
10001111001100001 (hexadecimal 11E61, octal 217141).
What is the square root of 73313?
About 270.7637.
Is 73313 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73313?
73313 is a semiprime: 167 × 439, the product of two primes.