The number 4836
4836 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 31. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156 … 4836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4836 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4836 is composite. Its prime factorisation is
- 3
The divisors add up to 12544; without 4836 itself that is 7708, so 4836 is abundant (7708 is more than 4836). Euler's totient φ(4836) = 1440 numbers up to 4836 share no factor with it.
- 4
The digits of 4836 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4836 = 2^{2} \times 3 \times 13 \times 31 \]4836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 12544 |
| Euler totient φ(n) | 1440 |
| Square | 23386896 |
| Cube | 113099029056 |
| Square root | 69.541355 (= 2√1209) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.836 × |
4836 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and thirty-six |
| Binary (base 2) | 1001011100100 |
| Octal (base 8) | 11344 |
| Hexadecimal (base 16) | 12E4 |
| Base 3 | 20122010 |
| As time | 4836 seconds = 1 h 20 min 36 s |
Is 4836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4836 ÷ 2 = 2418) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4836 ÷ 3 = 1612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4836 ÷ 4 = 1209) | 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 | Yes (4836 ÷ 6 = 806) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4836 ÷ 12 = 403) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4836 a prime number?
No. 4836 = × 3 × 13 × 31, so it is divisible by 2.
What are the factors of 4836?
1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836.
What is 4836 in binary?
1001011100100 (hexadecimal 12E4, octal 11344).
What is the square root of 4836?
About 69.5414, exactly 2√1209.
Is 4836 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4836?
It is a composite number with 24 divisors.