The number 80073
80073 is a composite number with 24 divisors. Its prime factorisation is × 7 × 31 × 41. Divisors (24): 1, 3, 7, 9, 21, 31, 41, 63, 93, 123, 217, 279, 287, 369, 651, 861 … 80073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80073 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80073 is composite. Its prime factorisation is
- 3
The divisors add up to 139776; without 80073 itself that is 59703, so 80073 is deficient (59703 is less than 80073). Euler's totient φ(80073) = 43200 numbers up to 80073 share no factor with it.
- 4
The digits of 80073 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80073 = 3^{2} \times 7 \times 31 \times 41 \]80073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 139776 |
| Euler totient φ(n) | 43200 |
| Square | 6411685329 |
| Cube | 513402879349017 |
| Square root | 282.971730 (= 3√8897) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0073 × |
80073 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and seventy-three |
| Binary (base 2) | 10011100011001001 |
| Octal (base 8) | 234311 |
| Hexadecimal (base 16) | 138C9 |
| Base 3 | 11001211200 |
| As time | 80073 seconds = 22 h 14 min 33 s |
Is 80073 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 (80073 ÷ 3 = 26691) | 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 | Yes (80073 ÷ 7 = 11439) | 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 (80073 ÷ 9 = 8897) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80073 a prime number?
No. 80073 = × 7 × 31 × 41, so it is divisible by 3.
What are the factors of 80073?
1, 3, 7, 9, 21, 31, 41, 63, 93, 123, 217, 279, 287, 369, 651, 861, 1271, 1953, 2583, 3813, 8897, 11439, 26691, 80073.
What is 80073 in binary?
10011100011001001 (hexadecimal 138C9, octal 234311).
What is the square root of 80073?
About 282.9717, exactly 3√8897.
Is 80073 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80073?
It is a composite number with 24 divisors.