The number 4689
4689 is a composite number with 6 divisors. Its prime factorisation is × 521. Divisors (6): 1, 3, 9, 521, 1563, 4689.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4689 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4689 is composite. Its prime factorisation is
- 3
The divisors add up to 6786; without 4689 itself that is 2097, so 4689 is deficient (2097 is less than 4689). Euler's totient φ(4689) = 3120 numbers up to 4689 share no factor with it.
- 4
The digits of 4689 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4689 = 3^{2} \times 521 \]4689 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6786 |
| Euler totient φ(n) | 3120 |
| Square | 21986721 |
| Cube | 103095734769 |
| Square root | 68.476273 (= 3√521) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 152 |
| Scientific notation | 4.689 × |
4689 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and eighty-nine |
| Binary (base 2) | 1001001010001 |
| Octal (base 8) | 11121 |
| Hexadecimal (base 16) | 1251 |
| Base 3 | 20102200 |
| As time | 4689 seconds = 1 h 18 min 9 s |
Is 4689 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4689 ÷ 3 = 1563) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4689 ÷ 9 = 521) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4689 a prime number?
No. 4689 = × 521, so it is divisible by 3.
What are the factors of 4689?
1, 3, 9, 521, 1563, 4689.
What is 4689 in binary?
1001001010001 (hexadecimal 1251, octal 11121).
What is the square root of 4689?
About 68.4763, exactly 3√521.
Is 4689 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 4689?
It is a composite number with 6 divisors.