The number 4797
4797 is a composite number with 12 divisors. Its prime factorisation is × 13 × 41. Divisors (12): 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4797 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4797 is composite. Its prime factorisation is
- 3
The divisors add up to 7644; without 4797 itself that is 2847, so 4797 is deficient (2847 is less than 4797). Euler's totient φ(4797) = 2880 numbers up to 4797 share no factor with it.
- 4
The digits of 4797 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4797 = 3^{2} \times 13 \times 41 \]4797 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7644 |
| Euler totient φ(n) | 2880 |
| Square | 23011209 |
| Cube | 110384769573 |
| Square root | 69.260378 (= 3√533) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 4.797 × |
4797 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and ninety-seven |
| Binary (base 2) | 1001010111101 |
| Octal (base 8) | 11275 |
| Hexadecimal (base 16) | 12BD |
| Base 3 | 20120200 |
| As time | 4797 seconds = 1 h 19 min 57 s |
Is 4797 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 (4797 ÷ 3 = 1599) | 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 2) | 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 | Yes (4797 ÷ 9 = 533) | 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 1) | 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 4797 a prime number?
No. 4797 = × 13 × 41, so it is divisible by 3.
What are the factors of 4797?
1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797.
What is 4797 in binary?
1001010111101 (hexadecimal 12BD, octal 11275).
What is the square root of 4797?
About 69.2604, exactly 3√533.
Is 4797 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 4797?
It is a composite number with 12 divisors.