The number 4796
4796 is a composite number with 12 divisors. Its prime factorisation is × 11 × 109. Divisors (12): 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4796 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4796 is composite. Its prime factorisation is
- 3
The divisors add up to 9240; without 4796 itself that is 4444, so 4796 is deficient (4444 is less than 4796). Euler's totient φ(4796) = 2160 numbers up to 4796 share no factor with it.
- 4
The digits of 4796 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4796 = 2^{2} \times 11 \times 109 \]4796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9240 |
| Euler totient φ(n) | 2160 |
| Square | 23001616 |
| Cube | 110315750336 |
| Square root | 69.253159 (= 2√1199) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 72 |
| Scientific notation | 4.796 × |
4796 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and ninety-six |
| Binary (base 2) | 1001010111100 |
| Octal (base 8) | 11274 |
| Hexadecimal (base 16) | 12BC |
| Base 3 | 20120122 |
| As time | 4796 seconds = 1 h 19 min 56 s |
Is 4796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4796 ÷ 2 = 2398) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4796 ÷ 4 = 1199) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4796 ÷ 11 = 436) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4796 a prime number?
No. 4796 = × 11 × 109, so it is divisible by 2.
What are the factors of 4796?
1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796.
What is 4796 in binary?
1001010111100 (hexadecimal 12BC, octal 11274).
What is the square root of 4796?
About 69.2532, exactly 2√1199.
Is 4796 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 4796?
It is a composite number with 12 divisors.