The number 77743
77743 is the 7642nd prime number. Its only divisors are 1 and 77743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77743: the 7642nd prime number.
- 2
77743 is prime, so its only factors are 1 and 77743. It is the 7642nd prime; the next prime is 77747 and the one before is 77731.
- 3
The divisors add up to 77744; without 77743 itself that is 1, so 77743 is deficient (1 is less than 77743). Euler's totient φ(77743) = 77742 numbers up to 77743 share no factor with it.
- 4
The digits of 77743 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 125 steps to reach 1.
77743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77744 |
| Euler totient φ(n) | 77742 |
| Square | 6043974049 |
| Cube | 469876674491407 |
| Square root | 278.824317 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7743 × |
77743 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and forty-three |
| Binary (base 2) | 10010111110101111 |
| Octal (base 8) | 227657 |
| Hexadecimal (base 16) | 12FAF |
| Base 3 | 10221122101 |
| As time | 77743 seconds = 21 h 35 min 43 s |
Is 77743 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 3) | 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 1) | 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 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77743 a prime number?
Yes. 77743 is divisible only by 1 and itself.
What are the factors of 77743?
1, 77743.
What is 77743 in binary?
10010111110101111 (hexadecimal 12FAF, octal 227657).
What is the square root of 77743?
About 278.8243.
Is 77743 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77743?
77743 is the 7642nd prime number.