The number 3073
3073 is a composite number with 4 divisors. Its prime factorisation is 7 × 439. Divisors (4): 1, 7, 439, 3073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3073: a semiprime: 7 × 439, the product of two primes.
- 2
3073 is composite. Its prime factorisation is
- 3
The divisors add up to 3520; without 3073 itself that is 447, so 3073 is deficient (447 is less than 3073). Euler's totient φ(3073) = 2628 numbers up to 3073 share no factor with it.
- 4
The digits of 3073 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3073 = 7 \times 439 \]
3073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3520 |
| Euler totient φ(n) | 2628 |
| Square | 9443329 |
| Cube | 29019350017 |
| Square root | 55.434646 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 110 |
| Scientific notation | 3.073 × |
3073 in other forms
| Form | Value |
|---|---|
| In words | three thousand and seventy-three |
| Roman numerals | MMMLXXIII |
| Binary (base 2) | 110000000001 |
| Octal (base 8) | 6001 |
| Hexadecimal (base 16) | C01 |
| Base 3 | 11012211 |
| As time | 3073 seconds = 51 min 13 s |
Is 3073 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 | Yes (3073 ÷ 7 = 439) | 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3073 a prime number?
No. 3073 = 7 × 439, so it is divisible by 7.
What are the factors of 3073?
1, 7, 439, 3073.
What is 3073 in binary?
110000000001 (hexadecimal C01, octal 6001).
What is the square root of 3073?
About 55.4346.
What is 3073 in Roman numerals?
MMMLXXIII.
Is 3073 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3073?
3073 is a semiprime: 7 × 439, the product of two primes.