The number 3773
3773 is a palindrome: it reads 3773 backwards too. Its prime factorisation is × 11. Divisors (8): 1, 7, 11, 49, 77, 343, 539, 3773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3773: a palindrome: it reads 3773 backwards too.
- 2
3773 is composite. Its prime factorisation is
- 3
The divisors add up to 4800; without 3773 itself that is 1027, so 3773 is deficient (1027 is less than 3773). Euler's totient φ(3773) = 2940 numbers up to 3773 share no factor with it.
- 4
The digits of 3773 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3773 = 7^{3} \times 11 \]3773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4800 |
| Euler totient φ(n) | 2940 |
| Square | 14235529 |
| Cube | 53710650917 |
| Square root | 61.424751 (= 7√77) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.773 × |
3773 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and seventy-three |
| Roman numerals | MMMDCCLXXIII |
| Binary (base 2) | 111010111101 |
| Octal (base 8) | 7275 |
| Hexadecimal (base 16) | EBD |
| Base 3 | 12011202 |
| As time | 3773 seconds = 1 h 2 min 53 s |
Is 3773 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 | Yes (3773 ÷ 7 = 539) | 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 | 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 | Yes (3773 ÷ 11 = 343) | 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 3773 a prime number?
No. 3773 = × 11, so it is divisible by 7.
What are the factors of 3773?
1, 7, 11, 49, 77, 343, 539, 3773.
What is 3773 in binary?
111010111101 (hexadecimal EBD, octal 7275).
What is the square root of 3773?
About 61.4248, exactly 7√77.
What is 3773 in Roman numerals?
MMMDCCLXXIII.
Is 3773 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3773?
3773 is a palindrome: it reads 3773 backwards too.