The number 7764
7764 is a composite number with 12 divisors. Its prime factorisation is × 3 × 647. Divisors (12): 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7764 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 7764 itself that is 10380, so 7764 is abundant (10380 is more than 7764). Euler's totient φ(7764) = 2584 numbers up to 7764 share no factor with it.
- 4
The digits of 7764 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7764 = 2^{2} \times 3 \times 647 \]7764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 2584 |
| Square | 60279696 |
| Cube | 468011559744 |
| Square root | 88.113563 (= 2√1941) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 7.764 × |
7764 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and sixty-four |
| Binary (base 2) | 1111001010100 |
| Octal (base 8) | 17124 |
| Hexadecimal (base 16) | 1E54 |
| Base 3 | 101122120 |
| As time | 7764 seconds = 2 h 9 min 24 s |
Is 7764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7764 ÷ 2 = 3882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7764 ÷ 3 = 2588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7764 ÷ 4 = 1941) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7764 ÷ 6 = 1294) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (7764 ÷ 12 = 647) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7764 a prime number?
No. 7764 = × 3 × 647, so it is divisible by 2.
What are the factors of 7764?
1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764.
What is 7764 in binary?
1111001010100 (hexadecimal 1E54, octal 17124).
What is the square root of 7764?
About 88.1136, exactly 2√1941.
Is 7764 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 7764?
It is a composite number with 12 divisors.