The number 4764
4764 is a composite number with 12 divisors. Its prime factorisation is × 3 × 397. Divisors (12): 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4764 is composite. Its prime factorisation is
- 3
The divisors add up to 11144; without 4764 itself that is 6380, so 4764 is abundant (6380 is more than 4764). Euler's totient φ(4764) = 1584 numbers up to 4764 share no factor with it.
- 4
The digits of 4764 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4764 = 2^{2} \times 3 \times 397 \]4764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11144 |
| Euler totient φ(n) | 1584 |
| Square | 22695696 |
| Cube | 108122295744 |
| Square root | 69.021736 (= 2√1191) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 51 |
| Scientific notation | 4.764 × |
4764 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and sixty-four |
| Binary (base 2) | 1001010011100 |
| Octal (base 8) | 11234 |
| Hexadecimal (base 16) | 129C |
| Base 3 | 20112110 |
| As time | 4764 seconds = 1 h 19 min 24 s |
Is 4764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4764 ÷ 2 = 2382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4764 ÷ 3 = 1588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4764 ÷ 4 = 1191) | 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 (4764 ÷ 6 = 794) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4764 ÷ 12 = 397) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4764 a prime number?
No. 4764 = × 3 × 397, so it is divisible by 2.
What are the factors of 4764?
1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764.
What is 4764 in binary?
1001010011100 (hexadecimal 129C, octal 11234).
What is the square root of 4764?
About 69.0217, exactly 2√1191.
Is 4764 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4764?
It is a composite number with 12 divisors.