The number 36773
36773 is a composite number with 4 divisors. Its prime factorisation is 11 × 3343. Divisors (4): 1, 11, 3343, 36773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36773: a semiprime: 11 × 3343, the product of two primes.
- 2
36773 is composite. Its prime factorisation is
- 3
The divisors add up to 40128; without 36773 itself that is 3355, so 36773 is deficient (3355 is less than 36773). Euler's totient φ(36773) = 33420 numbers up to 36773 share no factor with it.
- 4
The digits of 36773 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36773 = 11 \times 3343 \]
36773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 40128 |
| Euler totient φ(n) | 33420 |
| Square | 1352253529 |
| Cube | 49726419021917 |
| Square root | 191.762874 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.6773 × |
36773 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and seventy-three |
| Binary (base 2) | 1000111110100101 |
| Octal (base 8) | 107645 |
| Hexadecimal (base 16) | 8FA5 |
| Base 3 | 1212102222 |
| As time | 36773 seconds = 10 h 12 min 53 s |
Is 36773 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 (36773 ÷ 11 = 3343) | 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 36773 a prime number?
No. 36773 = 11 × 3343, so it is divisible by 11.
What are the factors of 36773?
1, 11, 3343, 36773.
What is 36773 in binary?
1000111110100101 (hexadecimal 8FA5, octal 107645).
What is the square root of 36773?
About 191.7629.
Is 36773 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 36773?
36773 is a semiprime: 11 × 3343, the product of two primes.