The number 4424
4424 is a composite number with 16 divisors. Its prime factorisation is × 7 × 79. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4424: a Harshad number: divisible by its digit sum 14.
- 2
4424 is composite. Its prime factorisation is
- 3
The divisors add up to 9600; without 4424 itself that is 5176, so 4424 is abundant (5176 is more than 4424). Euler's totient φ(4424) = 1872 numbers up to 4424 share no factor with it.
- 4
The digits of 4424 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4424 = 2^{3} \times 7 \times 79 \]4424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9600 |
| Euler totient φ(n) | 1872 |
| Square | 19571776 |
| Cube | 86585537024 |
| Square root | 66.513157 (= 2√1106) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 139 |
| Scientific notation | 4.424 × |
4424 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and twenty-four |
| Binary (base 2) | 1000101001000 |
| Octal (base 8) | 10510 |
| Hexadecimal (base 16) | 1148 |
| Base 3 | 20001212 |
| As time | 4424 seconds = 1 h 13 min 44 s |
Is 4424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4424 ÷ 2 = 2212) | 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 (4424 ÷ 4 = 1106) | 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 | Yes (4424 ÷ 7 = 632) | 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 | Yes (4424 ÷ 8 = 553) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | 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 4424 a prime number?
No. 4424 = × 7 × 79, so it is divisible by 2.
What are the factors of 4424?
1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424.
What is 4424 in binary?
1000101001000 (hexadecimal 1148, octal 10510).
What is the square root of 4424?
About 66.5132, exactly 2√1106.
Is 4424 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4424?
4424 is a Harshad number: divisible by its digit sum 14.