The number 46773
46773 is a composite number with 6 divisors. Its prime factorisation is × 5197. Divisors (6): 1, 3, 9, 5197, 15591, 46773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46773 is composite. Its prime factorisation is
- 3
The divisors add up to 67574; without 46773 itself that is 20801, so 46773 is deficient (20801 is less than 46773). Euler's totient φ(46773) = 31176 numbers up to 46773 share no factor with it.
- 4
The digits of 46773 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46773 = 3^{2} \times 5197 \]46773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 67574 |
| Euler totient φ(n) | 31176 |
| Square | 2187713529 |
| Cube | 102325924891917 |
| Square root | 216.270664 (= 3√5197) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6773 × |
46773 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and seventy-three |
| Binary (base 2) | 1011011010110101 |
| Octal (base 8) | 133265 |
| Hexadecimal (base 16) | B6B5 |
| Base 3 | 2101011100 |
| As time | 46773 seconds = 12 h 59 min 33 s |
Is 46773 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 (46773 ÷ 3 = 15591) | 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 6) | 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 (46773 ÷ 9 = 5197) | 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 1) | 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 46773 a prime number?
No. 46773 = × 5197, so it is divisible by 3.
What are the factors of 46773?
1, 3, 9, 5197, 15591, 46773.
What is 46773 in binary?
1011011010110101 (hexadecimal B6B5, octal 133265).
What is the square root of 46773?
About 216.2707, exactly 3√5197.
Is 46773 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46773?
It is a composite number with 6 divisors.