The number 4404
4404 is a composite number with 12 divisors. Its prime factorisation is × 3 × 367. Divisors (12): 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4404: a Harshad number: divisible by its digit sum 12.
- 2
4404 is composite. Its prime factorisation is
- 3
The divisors add up to 10304; without 4404 itself that is 5900, so 4404 is abundant (5900 is more than 4404). Euler's totient φ(4404) = 1464 numbers up to 4404 share no factor with it.
- 4
The digits of 4404 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4404 = 2^{2} \times 3 \times 367 \]4404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10304 |
| Euler totient φ(n) | 1464 |
| Square | 19395216 |
| Cube | 85416531264 |
| Square root | 66.362640 (= 2√1101) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.404 × |
4404 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and four |
| Binary (base 2) | 1000100110100 |
| Octal (base 8) | 10464 |
| Hexadecimal (base 16) | 1134 |
| Base 3 | 20001010 |
| As time | 4404 seconds = 1 h 13 min 24 s |
Is 4404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4404 ÷ 2 = 2202) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4404 ÷ 3 = 1468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4404 ÷ 4 = 1101) | 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 | Yes (4404 ÷ 6 = 734) | 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 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4404 ÷ 12 = 367) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4404 a prime number?
No. 4404 = × 3 × 367, so it is divisible by 2.
What are the factors of 4404?
1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404.
What is 4404 in binary?
1000100110100 (hexadecimal 1134, octal 10464).
What is the square root of 4404?
About 66.3626, exactly 2√1101.
Is 4404 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4404?
4404 is a Harshad number: divisible by its digit sum 12.