The number 4484
4484 is a composite number with 12 divisors. Its prime factorisation is × 19 × 59. Divisors (12): 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4484 is composite. Its prime factorisation is
- 3
The divisors add up to 8400; without 4484 itself that is 3916, so 4484 is deficient (3916 is less than 4484). Euler's totient φ(4484) = 2088 numbers up to 4484 share no factor with it.
- 4
The digits of 4484 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4484 = 2^{2} \times 19 \times 59 \]4484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8400 |
| Euler totient φ(n) | 2088 |
| Square | 20106256 |
| Cube | 90156451904 |
| Square root | 66.962676 (= 2√1121) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.484 × |
4484 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and eighty-four |
| Binary (base 2) | 1000110000100 |
| Octal (base 8) | 10604 |
| Hexadecimal (base 16) | 1184 |
| Base 3 | 20011002 |
| As time | 4484 seconds = 1 h 14 min 44 s |
Is 4484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4484 ÷ 2 = 2242) | 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 (4484 ÷ 4 = 1121) | 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 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 4484 a prime number?
No. 4484 = × 19 × 59, so it is divisible by 2.
What are the factors of 4484?
1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484.
What is 4484 in binary?
1000110000100 (hexadecimal 1184, octal 10604).
What is the square root of 4484?
About 66.9627, exactly 2√1121.
Is 4484 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4484?
It is a composite number with 12 divisors.