The number 4816
4816 is a composite number with 20 divisors. Its prime factorisation is × 7 × 43. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602 … 4816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4816 is composite. Its prime factorisation is
- 3
The divisors add up to 10912; without 4816 itself that is 6096, so 4816 is abundant (6096 is more than 4816). Euler's totient φ(4816) = 2016 numbers up to 4816 share no factor with it.
- 4
The digits of 4816 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4816 = 2^{4} \times 7 \times 43 \]4816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 10912 |
| Euler totient φ(n) | 2016 |
| Square | 23193856 |
| Cube | 111701610496 |
| Square root | 69.397406 (= 4√301) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 20 |
| Scientific notation | 4.816 × |
4816 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and sixteen |
| Binary (base 2) | 1001011010000 |
| Octal (base 8) | 11320 |
| Hexadecimal (base 16) | 12D0 |
| Base 3 | 20121101 |
| As time | 4816 seconds = 1 h 20 min 16 s |
Is 4816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4816 ÷ 2 = 2408) | 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 (4816 ÷ 4 = 1204) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4816 ÷ 7 = 688) | 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 (4816 ÷ 8 = 602) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | 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 4816 a prime number?
No. 4816 = × 7 × 43, so it is divisible by 2.
What are the factors of 4816?
1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816.
What is 4816 in binary?
1001011010000 (hexadecimal 12D0, octal 11320).
What is the square root of 4816?
About 69.3974, exactly 4√301.
Is 4816 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 4816?
It is a composite number with 20 divisors.