The number 7727
7727 is the 981st prime number. Its only divisors are 1 and 7727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7727: the 981st prime number.
- 2
7727 is prime, so its only factors are 1 and 7727. It is the 981st prime; the next prime is 7741 and the one before is 7723.
- 3
The divisors add up to 7728; without 7727 itself that is 1, so 7727 is deficient (1 is less than 7727). Euler's totient φ(7727) = 7726 numbers up to 7727 share no factor with it.
- 4
The digits of 7727 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
7727 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7728 |
| Euler totient φ(n) | 7726 |
| Square | 59706529 |
| Cube | 461352349583 |
| Square root | 87.903356 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 7.727 × |
7727 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and twenty-seven |
| Binary (base 2) | 1111000101111 |
| Octal (base 8) | 17057 |
| Hexadecimal (base 16) | 1E2F |
| Base 3 | 101121012 |
| As time | 7727 seconds = 2 h 8 min 47 s |
Is 7727 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7727 a prime number?
Yes. 7727 is divisible only by 1 and itself.
What are the factors of 7727?
1, 7727.
What is 7727 in binary?
1111000101111 (hexadecimal 1E2F, octal 17057).
What is the square root of 7727?
About 87.9034.
Is 7727 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7727?
7727 is the 981st prime number.