The number 4768
4768 is a composite number with 12 divisors. Its prime factorisation is × 149. Divisors (12): 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4768 is composite. Its prime factorisation is
- 3
The divisors add up to 9450; without 4768 itself that is 4682, so 4768 is deficient (4682 is less than 4768). Euler's totient φ(4768) = 2368 numbers up to 4768 share no factor with it.
- 4
The digits of 4768 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4768 = 2^{5} \times 149 \]4768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9450 |
| Euler totient φ(n) | 2368 |
| Square | 22733824 |
| Cube | 108394872832 |
| Square root | 69.050706 (= 4√298) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 28 |
| Scientific notation | 4.768 × |
4768 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and sixty-eight |
| Binary (base 2) | 1001010100000 |
| Octal (base 8) | 11240 |
| Hexadecimal (base 16) | 12A0 |
| Base 3 | 20112121 |
| As time | 4768 seconds = 1 h 19 min 28 s |
Is 4768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4768 ÷ 2 = 2384) | 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 | Yes (4768 ÷ 4 = 1192) | 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 4) | 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 | Yes (4768 ÷ 8 = 596) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4768 a prime number?
No. 4768 = × 149, so it is divisible by 2.
What are the factors of 4768?
1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768.
What is 4768 in binary?
1001010100000 (hexadecimal 12A0, octal 11240).
What is the square root of 4768?
About 69.0507, exactly 4√298.
Is 4768 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 4768?
It is a composite number with 12 divisors.