The number 4684
4684 is a composite number with 6 divisors. Its prime factorisation is × 1171. Divisors (6): 1, 2, 4, 1171, 2342, 4684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4684 is composite. Its prime factorisation is
- 3
The divisors add up to 8204; without 4684 itself that is 3520, so 4684 is deficient (3520 is less than 4684). Euler's totient φ(4684) = 2340 numbers up to 4684 share no factor with it.
- 4
The digits of 4684 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4684 = 2^{2} \times 1171 \]4684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 8204 |
| Euler totient φ(n) | 2340 |
| Square | 21939856 |
| Cube | 102766285504 |
| Square root | 68.439755 (= 2√1171) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.684 × |
4684 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and eighty-four |
| Binary (base 2) | 1001001001100 |
| Octal (base 8) | 11114 |
| Hexadecimal (base 16) | 124C |
| Base 3 | 20102111 |
| As time | 4684 seconds = 1 h 18 min 4 s |
Is 4684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4684 ÷ 2 = 2342) | 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 (4684 ÷ 4 = 1171) | 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 4) | 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 4) | 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 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 4684 a prime number?
No. 4684 = × 1171, so it is divisible by 2.
What are the factors of 4684?
1, 2, 4, 1171, 2342, 4684.
What is 4684 in binary?
1001001001100 (hexadecimal 124C, octal 11114).
What is the square root of 4684?
About 68.4398, exactly 2√1171.
Is 4684 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 4684?
It is a composite number with 6 divisors.