The number 18773
18773 is the 2142nd prime number. Its only divisors are 1 and 18773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18773: the 2142nd prime number.
- 2
18773 is prime, so its only factors are 1 and 18773. It is the 2142nd prime; the next prime is 18787 and the one before is 18757.
- 3
The divisors add up to 18774; without 18773 itself that is 1, so 18773 is deficient (1 is less than 18773). Euler's totient φ(18773) = 18772 numbers up to 18773 share no factor with it.
- 4
The digits of 18773 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 123 steps to reach 1.
18773 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18774 |
| Euler totient φ(n) | 18772 |
| Square | 352425529 |
| Cube | 6616084455917 |
| Square root | 137.014598 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8773 × |
18773 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and seventy-three |
| Binary (base 2) | 100100101010101 |
| Octal (base 8) | 44525 |
| Hexadecimal (base 16) | 4955 |
| Base 3 | 221202022 |
| As time | 18773 seconds = 5 h 12 min 53 s |
Is 18773 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 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 | 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 | No (remainder 7) | 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 18773 a prime number?
Yes. 18773 is divisible only by 1 and itself.
What are the factors of 18773?
1, 18773.
What is 18773 in binary?
100100101010101 (hexadecimal 4955, octal 44525).
What is the square root of 18773?
About 137.0146.
Is 18773 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 18773?
18773 is the 2142nd prime number.