The number 83773
83773 is the 8173rd prime number. Its only divisors are 1 and 83773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83773: the 8173rd prime number.
- 2
83773 is prime, so its only factors are 1 and 83773. It is the 8173rd prime; the next prime is 83777 and the one before is 83761.
- 3
The divisors add up to 83774; without 83773 itself that is 1, so 83773 is deficient (1 is less than 83773). Euler's totient φ(83773) = 83772 numbers up to 83773 share no factor with it.
- 4
The digits of 83773 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 89 steps to reach 1.
83773 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 83774 |
| Euler totient φ(n) | 83772 |
| Square | 7017915529 |
| Cube | 587911837610917 |
| Square root | 289.435658 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3773 × |
83773 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and seventy-three |
| Binary (base 2) | 10100011100111101 |
| Octal (base 8) | 243475 |
| Hexadecimal (base 16) | 1473D |
| Base 3 | 11020220201 |
| As time | 83773 seconds = 23 h 16 min 13 s |
Is 83773 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 | No (remainder 4) | 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 8) | 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 83773 a prime number?
Yes. 83773 is divisible only by 1 and itself.
What are the factors of 83773?
1, 83773.
What is 83773 in binary?
10100011100111101 (hexadecimal 1473D, octal 243475).
What is the square root of 83773?
About 289.4357.
Is 83773 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 83773?
83773 is the 8173rd prime number.