The number 1773
1773 is a composite number with 6 divisors. Its prime factorisation is × 197. Divisors (6): 1, 3, 9, 197, 591, 1773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1773 is composite. Its prime factorisation is
- 3
The divisors add up to 2574; without 1773 itself that is 801, so 1773 is deficient (801 is less than 1773). Euler's totient φ(1773) = 1176 numbers up to 1773 share no factor with it.
- 4
The digits of 1773 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1773 = 3^{2} \times 197 \]1773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2574 |
| Euler totient φ(n) | 1176 |
| Square | 3143529 |
| Cube | 5573476917 |
| Square root | 42.107007 (= 3√197) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.773 × |
1773 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and seventy-three |
| Roman numerals | MDCCLXXIII |
| Binary (base 2) | 11011101101 |
| Octal (base 8) | 3355 |
| Hexadecimal (base 16) | 6ED |
| Base 3 | 2102200 |
| As time | 1773 seconds = 29 min 33 s |
Is 1773 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 (1773 ÷ 3 = 591) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1773 ÷ 9 = 197) | 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 2) | 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 1773 a prime number?
No. 1773 = × 197, so it is divisible by 3.
What are the factors of 1773?
1, 3, 9, 197, 591, 1773.
What is 1773 in binary?
11011101101 (hexadecimal 6ED, octal 3355).
What is the square root of 1773?
About 42.1070, exactly 3√197.
What is 1773 in Roman numerals?
MDCCLXXIII.
Is 1773 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1773?
It is a composite number with 6 divisors.