The number 73321
73321 is a composite number with 8 divisors. Its prime factorisation is 17 × 19 × 227. Divisors (8): 1, 17, 19, 227, 323, 3859, 4313, 73321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73321 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73321 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 73321 itself that is 8759, so 73321 is deficient (8759 is less than 73321). Euler's totient φ(73321) = 65088 numbers up to 73321 share no factor with it.
- 4
The digits of 73321 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 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73321 = 17 \times 19 \times 227 \]
73321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 65088 |
| Square | 5375969041 |
| Cube | 394171426055161 |
| Square root | 270.778507 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.3321 × |
73321 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and twenty-one |
| Binary (base 2) | 10001111001101001 |
| Octal (base 8) | 217151 |
| Hexadecimal (base 16) | 11E69 |
| Base 3 | 10201120121 |
| As time | 73321 seconds = 20 h 22 min 1 s |
Is 73321 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 1) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 73321 a prime number?
No. 73321 = 17 × 19 × 227, so it is divisible by 17.
What are the factors of 73321?
1, 17, 19, 227, 323, 3859, 4313, 73321.
What is 73321 in binary?
10001111001101001 (hexadecimal 11E69, octal 217151).
What is the square root of 73321?
About 270.7785.
Is 73321 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73321?
It is a composite number with 8 divisors.