The number 4724
4724 is a composite number with 6 divisors. Its prime factorisation is × 1181. Divisors (6): 1, 2, 4, 1181, 2362, 4724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4724 is composite. Its prime factorisation is
- 3
The divisors add up to 8274; without 4724 itself that is 3550, so 4724 is deficient (3550 is less than 4724). Euler's totient φ(4724) = 2360 numbers up to 4724 share no factor with it.
- 4
The digits of 4724 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4724 = 2^{2} \times 1181 \]4724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 8274 |
| Euler totient φ(n) | 2360 |
| Square | 22316176 |
| Cube | 105421615424 |
| Square root | 68.731361 (= 2√1181) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.724 × |
4724 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and twenty-four |
| Binary (base 2) | 1001001110100 |
| Octal (base 8) | 11164 |
| Hexadecimal (base 16) | 1274 |
| Base 3 | 20110222 |
| As time | 4724 seconds = 1 h 18 min 44 s |
Is 4724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4724 ÷ 2 = 2362) | 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 (4724 ÷ 4 = 1181) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 4724 a prime number?
No. 4724 = × 1181, so it is divisible by 2.
What are the factors of 4724?
1, 2, 4, 1181, 2362, 4724.
What is 4724 in binary?
1001001110100 (hexadecimal 1274, octal 11164).
What is the square root of 4724?
About 68.7314, exactly 2√1181.
Is 4724 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4724?
It is a composite number with 6 divisors.