The number 7797
7797 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 113. Divisors (8): 1, 3, 23, 69, 113, 339, 2599, 7797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7797 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7797 is composite. Its prime factorisation is
- 3
The divisors add up to 10944; without 7797 itself that is 3147, so 7797 is deficient (3147 is less than 7797). Euler's totient φ(7797) = 4928 numbers up to 7797 share no factor with it.
- 4
The digits of 7797 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7797 = 3 \times 23 \times 113 \]
7797 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10944 |
| Euler totient φ(n) | 4928 |
| Square | 60793209 |
| Cube | 474004650573 |
| Square root | 88.300623 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 7.797 × |
7797 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and ninety-seven |
| Binary (base 2) | 1111001110101 |
| Octal (base 8) | 17165 |
| Hexadecimal (base 16) | 1E75 |
| Base 3 | 101200210 |
| As time | 7797 seconds = 2 h 9 min 57 s |
Is 7797 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 | Yes (7797 ÷ 3 = 2599) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7797 a prime number?
No. 7797 = 3 × 23 × 113, so it is divisible by 3.
What are the factors of 7797?
1, 3, 23, 69, 113, 339, 2599, 7797.
What is 7797 in binary?
1111001110101 (hexadecimal 1E75, octal 17165).
What is the square root of 7797?
About 88.3006.
Is 7797 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 7797?
It is a composite number with 8 divisors.