The number 9073
9073 is a composite number with 4 divisors. Its prime factorisation is 43 × 211. Divisors (4): 1, 43, 211, 9073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9073: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 211, the product of two primes.
- 2
9073 is composite. Its prime factorisation is
- 3
The divisors add up to 9328; without 9073 itself that is 255, so 9073 is deficient (255 is less than 9073). Euler's totient φ(9073) = 8820 numbers up to 9073 share no factor with it.
- 4
The digits of 9073 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9073 = 43 \times 211 \]
9073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9328 |
| Euler totient φ(n) | 8820 |
| Square | 82319329 |
| Cube | 746883272017 |
| Square root | 95.252297 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 9.073 × |
9073 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and seventy-three |
| Binary (base 2) | 10001101110001 |
| Octal (base 8) | 21561 |
| Hexadecimal (base 16) | 2371 |
| Base 3 | 110110001 |
| As time | 9073 seconds = 2 h 31 min 13 s |
Is 9073 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 3) | 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 1) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9073 a prime number?
No. 9073 = 43 × 211, so it is divisible by 43.
What are the factors of 9073?
1, 43, 211, 9073.
What is 9073 in binary?
10001101110001 (hexadecimal 2371, octal 21561).
What is the square root of 9073?
About 95.2523.
Is 9073 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9073?
9073 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 211, the product of two primes.