The number 4422
4422 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 67. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4422 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4422 is composite. Its prime factorisation is
- 3
The divisors add up to 9792; without 4422 itself that is 5370, so 4422 is abundant (5370 is more than 4422). Euler's totient φ(4422) = 1320 numbers up to 4422 share no factor with it.
- 4
The digits of 4422 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
\[ 4422 = 2 \times 3 \times 11 \times 67 \]
4422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9792 |
| Euler totient φ(n) | 1320 |
| Square | 19554084 |
| Cube | 86468159448 |
| Square root | 66.498120 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.422 × |
4422 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and twenty-two |
| Binary (base 2) | 1000101000110 |
| Octal (base 8) | 10506 |
| Hexadecimal (base 16) | 1146 |
| Base 3 | 20001210 |
| As time | 4422 seconds = 1 h 13 min 42 s |
Is 4422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4422 ÷ 2 = 2211) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4422 ÷ 3 = 1474) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4422 ÷ 6 = 737) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4422 ÷ 11 = 402) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4422 a prime number?
No. 4422 = 2 × 3 × 11 × 67, so it is divisible by 2.
What are the factors of 4422?
1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422.
What is 4422 in binary?
1000101000110 (hexadecimal 1146, octal 10506).
What is the square root of 4422?
About 66.4981.
Is 4422 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4422?
It is a composite number with 16 divisors.