The number 4428
4428 is a composite number with 24 divisors. Its prime factorisation is × × 41. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164 … 4428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4428: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
4428 is composite. Its prime factorisation is
- 3
The divisors add up to 11760; without 4428 itself that is 7332, so 4428 is abundant (7332 is more than 4428). Euler's totient φ(4428) = 1440 numbers up to 4428 share no factor with it.
- 4
The digits of 4428 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4428 = 2^{2} \times 3^{3} \times 41 \]4428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 11760 |
| Euler totient φ(n) | 1440 |
| Square | 19607184 |
| Cube | 86820610752 |
| Square root | 66.543219 (= 6√123) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 4.428 × |
4428 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and twenty-eight |
| Binary (base 2) | 1000101001100 |
| Octal (base 8) | 10514 |
| Hexadecimal (base 16) | 114C |
| Base 3 | 20002000 |
| As time | 4428 seconds = 1 h 13 min 48 s |
Is 4428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4428 ÷ 2 = 2214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4428 ÷ 3 = 1476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4428 ÷ 4 = 1107) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4428 ÷ 6 = 738) | 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 | Yes (4428 ÷ 9 = 492) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4428 ÷ 12 = 369) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4428 a prime number?
No. 4428 = × × 41, so it is divisible by 2.
What are the factors of 4428?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428.
What is 4428 in binary?
1000101001100 (hexadecimal 114C, octal 10514).
What is the square root of 4428?
About 66.5432, exactly 6√123.
Is 4428 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4428?
4428 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.