The number 38773
38773 is a composite number with 8 divisors. Its prime factorisation is 7 × 29 × 191. Divisors (8): 1, 7, 29, 191, 203, 1337, 5539, 38773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38773 is composite. Its prime factorisation is
- 3
The divisors add up to 46080; without 38773 itself that is 7307, so 38773 is deficient (7307 is less than 38773). Euler's totient φ(38773) = 31920 numbers up to 38773 share no factor with it.
- 4
The digits of 38773 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38773 = 7 \times 29 \times 191 \]
38773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46080 |
| Euler totient φ(n) | 31920 |
| Square | 1503345529 |
| Cube | 58289216195917 |
| Square root | 196.908608 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8773 × |
38773 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and seventy-three |
| Binary (base 2) | 1001011101110101 |
| Octal (base 8) | 113565 |
| Hexadecimal (base 16) | 9775 |
| Base 3 | 1222012001 |
| As time | 38773 seconds = 10 h 46 min 13 s |
Is 38773 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38773 ÷ 7 = 5539) | 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 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38773 a prime number?
No. 38773 = 7 × 29 × 191, so it is divisible by 7.
What are the factors of 38773?
1, 7, 29, 191, 203, 1337, 5539, 38773.
What is 38773 in binary?
1001011101110101 (hexadecimal 9775, octal 113565).
What is the square root of 38773?
About 196.9086.
Is 38773 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38773?
It is a composite number with 8 divisors.