The number 773
773 is the 137th prime number. Its only divisors are 1 and 773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 773: the 137th prime number.
- 2
773 is prime, so its only factors are 1 and 773. It is the 137th prime; the next prime is 787 and the one before is 769.
- 3
The divisors add up to 774; without 773 itself that is 1, so 773 is deficient (1 is less than 773). Euler's totient φ(773) = 772 numbers up to 773 share no factor with it.
- 4
The digits of 773 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
773 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 774 |
| Euler totient φ(n) | 772 |
| Square | 597529 |
| Cube | 461889917 |
| Square root | 27.802878 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 121 |
| Scientific notation | 7.73 × |
773 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and seventy-three |
| Roman numerals | DCCLXXIII |
| Binary (base 2) | 1100000101 |
| Octal (base 8) | 1405 |
| Hexadecimal (base 16) | 305 |
| Base 3 | 1001122 |
| As time | 773 seconds = 12 min 53 s |
Is 773 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 3) | 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 3) | 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 773 a prime number?
Yes. 773 is divisible only by 1 and itself.
What are the factors of 773?
1, 773.
What is 773 in binary?
1100000101 (hexadecimal 305, octal 1405).
What is the square root of 773?
About 27.8029.
What is 773 in Roman numerals?
DCCLXXIII.
Is 773 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 773?
773 is the 137th prime number.