The number 2073
2073 is a composite number with 4 divisors. Its prime factorisation is 3 × 691. Divisors (4): 1, 3, 691, 2073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2073: a semiprime: 3 × 691, the product of two primes.
- 2
2073 is composite. Its prime factorisation is
- 3
The divisors add up to 2768; without 2073 itself that is 695, so 2073 is deficient (695 is less than 2073). Euler's totient φ(2073) = 1380 numbers up to 2073 share no factor with it.
- 4
The digits of 2073 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2073 = 3 \times 691 \]
2073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2768 |
| Euler totient φ(n) | 1380 |
| Square | 4297329 |
| Cube | 8908363017 |
| Square root | 45.530210 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 2.073 × |
2073 in other forms
| Form | Value |
|---|---|
| In words | two thousand and seventy-three |
| Roman numerals | MMLXXIII |
| Binary (base 2) | 100000011001 |
| Octal (base 8) | 4031 |
| Hexadecimal (base 16) | 819 |
| Base 3 | 2211210 |
| As time | 2073 seconds = 34 min 33 s |
Is 2073 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 (2073 ÷ 3 = 691) | 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 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 3) | 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 5) | 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 2073 a prime number?
No. 2073 = 3 × 691, so it is divisible by 3.
What are the factors of 2073?
1, 3, 691, 2073.
What is 2073 in binary?
100000011001 (hexadecimal 819, octal 4031).
What is the square root of 2073?
About 45.5302.
What is 2073 in Roman numerals?
MMLXXIII.
Is 2073 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2073?
2073 is a semiprime: 3 × 691, the product of two primes.