The number 77773
77773 is the 7645th prime number. Its only divisors are 1 and 77773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77773: the 7645th prime number.
- 2
77773 is prime, so its only factors are 1 and 77773. It is the 7645th prime; the next prime is 77783 and the one before is 77761.
- 3
The divisors add up to 77774; without 77773 itself that is 1, so 77773 is deficient (1 is less than 77773). Euler's totient φ(77773) = 77772 numbers up to 77773 share no factor with it.
- 4
The digits of 77773 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
77773 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77774 |
| Euler totient φ(n) | 77772 |
| Square | 6048639529 |
| Cube | 470420842088917 |
| Square root | 278.878110 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7773 × |
77773 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and seventy-three |
| Binary (base 2) | 10010111111001101 |
| Octal (base 8) | 227715 |
| Hexadecimal (base 16) | 12FCD |
| Base 3 | 10221200111 |
| As time | 77773 seconds = 21 h 36 min 13 s |
Is 77773 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 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77773 a prime number?
Yes. 77773 is divisible only by 1 and itself.
What are the factors of 77773?
1, 77773.
What is 77773 in binary?
10010111111001101 (hexadecimal 12FCD, octal 227715).
What is the square root of 77773?
About 278.8781.
Is 77773 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 77773?
77773 is the 7645th prime number.