The number 4491
4491 is a composite number with 6 divisors. Its prime factorisation is × 499. Divisors (6): 1, 3, 9, 499, 1497, 4491.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4491 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4491 is composite. Its prime factorisation is
- 3
The divisors add up to 6500; without 4491 itself that is 2009, so 4491 is deficient (2009 is less than 4491). Euler's totient φ(4491) = 2988 numbers up to 4491 share no factor with it.
- 4
The digits of 4491 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4491 = 3^{2} \times 499 \]4491 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6500 |
| Euler totient φ(n) | 2988 |
| Square | 20169081 |
| Cube | 90579342771 |
| Square root | 67.014924 (= 3√499) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 183 |
| Scientific notation | 4.491 × |
4491 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and ninety-one |
| Binary (base 2) | 1000110001011 |
| Octal (base 8) | 10613 |
| Hexadecimal (base 16) | 118B |
| Base 3 | 20011100 |
| As time | 4491 seconds = 1 h 14 min 51 s |
Is 4491 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 (4491 ÷ 3 = 1497) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4491 ÷ 9 = 499) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4491 a prime number?
No. 4491 = × 499, so it is divisible by 3.
What are the factors of 4491?
1, 3, 9, 499, 1497, 4491.
What is 4491 in binary?
1000110001011 (hexadecimal 118B, octal 10613).
What is the square root of 4491?
About 67.0149, exactly 3√499.
Is 4491 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4491?
It is a composite number with 6 divisors.