The number 73071
73071 is a composite number with 12 divisors. Its prime factorisation is × 23 × 353. Divisors (12): 1, 3, 9, 23, 69, 207, 353, 1059, 3177, 8119, 24357, 73071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73071 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73071 is composite. Its prime factorisation is
- 3
The divisors add up to 110448; without 73071 itself that is 37377, so 73071 is deficient (37377 is less than 73071). Euler's totient φ(73071) = 46464 numbers up to 73071 share no factor with it.
- 4
The digits of 73071 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73071 = 3^{2} \times 23 \times 353 \]73071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110448 |
| Euler totient φ(n) | 46464 |
| Square | 5339371041 |
| Cube | 390153181336911 |
| Square root | 270.316481 (= 3√8119) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3071 × |
73071 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and seventy-one |
| Binary (base 2) | 10001110101101111 |
| Octal (base 8) | 216557 |
| Hexadecimal (base 16) | 11D6F |
| Base 3 | 10201020100 |
| As time | 73071 seconds = 20 h 17 min 51 s |
Is 73071 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 (73071 ÷ 3 = 24357) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73071 ÷ 9 = 8119) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73071 a prime number?
No. 73071 = × 23 × 353, so it is divisible by 3.
What are the factors of 73071?
1, 3, 9, 23, 69, 207, 353, 1059, 3177, 8119, 24357, 73071.
What is 73071 in binary?
10001110101101111 (hexadecimal 11D6F, octal 216557).
What is the square root of 73071?
About 270.3165, exactly 3√8119.
Is 73071 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73071?
It is a composite number with 12 divisors.