The number 10773
10773 is a binary palindrome (10101000010101). Its prime factorisation is × 7 × 19. Divisors (20): 1, 3, 7, 9, 19, 21, 27, 57, 63, 81, 133, 171, 189, 399, 513, 567 … 10773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10773: a binary palindrome (10101000010101).
- 2
10773 is composite. Its prime factorisation is
- 3
The divisors add up to 19360; without 10773 itself that is 8587, so 10773 is deficient (8587 is less than 10773). Euler's totient φ(10773) = 5832 numbers up to 10773 share no factor with it.
- 4
The digits of 10773 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10773 = 3^{4} \times 7 \times 19 \]10773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 19360 |
| Euler totient φ(n) | 5832 |
| Square | 116057529 |
| Cube | 1250287759917 |
| Square root | 103.793063 (= 9√133) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.0773 × |
10773 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and seventy-three |
| Binary (base 2) | 10101000010101 |
| Octal (base 8) | 25025 |
| Hexadecimal (base 16) | 2A15 |
| Base 3 | 112210000 |
| As time | 10773 seconds = 2 h 59 min 33 s |
Is 10773 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 (10773 ÷ 3 = 3591) | 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 | Yes (10773 ÷ 7 = 1539) | 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 (10773 ÷ 9 = 1197) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10773 a prime number?
No. 10773 = × 7 × 19, so it is divisible by 3.
What are the factors of 10773?
1, 3, 7, 9, 19, 21, 27, 57, 63, 81, 133, 171, 189, 399, 513, 567, 1197, 1539, 3591, 10773.
What is 10773 in binary?
10101000010101 (hexadecimal 2A15, octal 25025).
What is the square root of 10773?
About 103.7931, exactly 9√133.
Is 10773 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 10773?
10773 is a binary palindrome (10101000010101).