The number 1073
1073 is a composite number with 4 divisors. Its prime factorisation is 29 × 37. Divisors (4): 1, 29, 37, 1073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1073: a semiprime: 29 × 37, the product of two primes.
- 2
1073 is composite. Its prime factorisation is
- 3
The divisors add up to 1140; without 1073 itself that is 67, so 1073 is deficient (67 is less than 1073). Euler's totient φ(1073) = 1008 numbers up to 1073 share no factor with it.
- 4
The digits of 1073 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1073 = 29 \times 37 \]
1073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1140 |
| Euler totient φ(n) | 1008 |
| Square | 1151329 |
| Cube | 1235376017 |
| Square root | 32.756679 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 23 |
| Scientific notation | 1.073 × |
1073 in other forms
| Form | Value |
|---|---|
| In words | one thousand and seventy-three |
| Roman numerals | MLXXIII |
| Binary (base 2) | 10000110001 |
| Octal (base 8) | 2061 |
| Hexadecimal (base 16) | 431 |
| Base 3 | 1110202 |
| As time | 1073 seconds = 17 min 53 s |
Is 1073 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1073 a prime number?
No. 1073 = 29 × 37, so it is divisible by 29.
What are the factors of 1073?
1, 29, 37, 1073.
What is 1073 in binary?
10000110001 (hexadecimal 431, octal 2061).
What is the square root of 1073?
About 32.7567.
What is 1073 in Roman numerals?
MLXXIII.
Is 1073 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1073?
1073 is a semiprime: 29 × 37, the product of two primes.