The number 4788
4788 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 19. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42 … 4788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4788: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4788 is composite. Its prime factorisation is
- 3
The divisors add up to 14560; without 4788 itself that is 9772, so 4788 is abundant (9772 is more than 4788). Euler's totient φ(4788) = 1296 numbers up to 4788 share no factor with it.
- 4
The digits of 4788 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4788 = 2^{2} \times 3^{2} \times 7 \times 19 \]4788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 14560 |
| Euler totient φ(n) | 1296 |
| Square | 22924944 |
| Cube | 109764631872 |
| Square root | 69.195376 (= 6√133) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.788 × |
4788 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and eighty-eight |
| Binary (base 2) | 1001010110100 |
| Octal (base 8) | 11264 |
| Hexadecimal (base 16) | 12B4 |
| Base 3 | 20120100 |
| As time | 4788 seconds = 1 h 19 min 48 s |
Is 4788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4788 ÷ 2 = 2394) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4788 ÷ 3 = 1596) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4788 ÷ 4 = 1197) | 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 | Yes (4788 ÷ 6 = 798) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4788 ÷ 7 = 684) | 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 | Yes (4788 ÷ 9 = 532) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4788 ÷ 12 = 399) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4788 a prime number?
No. 4788 = × × 7 × 19, so it is divisible by 2.
What are the factors of 4788?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788.
What is 4788 in binary?
1001010110100 (hexadecimal 12B4, octal 11264).
What is the square root of 4788?
About 69.1954, exactly 6√133.
Is 4788 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 4788?
4788 is a happy number: repeatedly adding the squares of its digits reaches 1.