The number 4736
4736 is a composite number with 16 divisors. Its prime factorisation is × 37. Divisors (16): 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4736 is composite. Its prime factorisation is
- 3
The divisors add up to 9690; without 4736 itself that is 4954, so 4736 is abundant (4954 is more than 4736). Euler's totient φ(4736) = 2304 numbers up to 4736 share no factor with it.
- 4
The digits of 4736 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4736 = 2^{7} \times 37 \]4736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9690 |
| Euler totient φ(n) | 2304 |
| Square | 22429696 |
| Cube | 106227040256 |
| Square root | 68.818602 (= 8√74) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 28 |
| Scientific notation | 4.736 × |
4736 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and thirty-six |
| Binary (base 2) | 1001010000000 |
| Octal (base 8) | 11200 |
| Hexadecimal (base 16) | 1280 |
| Base 3 | 20111102 |
| As time | 4736 seconds = 1 h 18 min 56 s |
Is 4736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4736 ÷ 2 = 2368) | 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 (4736 ÷ 4 = 1184) | 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 4) | 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 (4736 ÷ 8 = 592) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | 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 4736 a prime number?
No. 4736 = × 37, so it is divisible by 2.
What are the factors of 4736?
1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736.
What is 4736 in binary?
1001010000000 (hexadecimal 1280, octal 11200).
What is the square root of 4736?
About 68.8186, exactly 8√74.
Is 4736 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4736?
It is a composite number with 16 divisors.