The number 8073
8073 is a composite number with 16 divisors. Its prime factorisation is × 13 × 23. Divisors (16): 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073.
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How to work it out
- 1
8073 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8073 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 8073 itself that is 5367, so 8073 is deficient (5367 is less than 8073). Euler's totient φ(8073) = 4752 numbers up to 8073 share no factor with it.
- 4
The digits of 8073 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8073 = 3^{3} \times 13 \times 23 \]8073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 4752 |
| Square | 65173329 |
| Cube | 526144285017 |
| Square root | 89.849875 (= 3√897) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.073 × |
8073 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and seventy-three |
| Binary (base 2) | 1111110001001 |
| Octal (base 8) | 17611 |
| Hexadecimal (base 16) | 1F89 |
| Base 3 | 102002000 |
| As time | 8073 seconds = 2 h 14 min 33 s |
Is 8073 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 | Yes (8073 ÷ 3 = 2691) | 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 3) | 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 | Yes (8073 ÷ 9 = 897) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8073 a prime number?
No. 8073 = × 13 × 23, so it is divisible by 3.
What are the factors of 8073?
1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073.
What is 8073 in binary?
1111110001001 (hexadecimal 1F89, octal 17611).
What is the square root of 8073?
About 89.8499, exactly 3√897.
Is 8073 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8073?
It is a composite number with 16 divisors.