The number 4412
4412 is a composite number with 6 divisors. Its prime factorisation is × 1103. Divisors (6): 1, 2, 4, 1103, 2206, 4412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4412 is composite. Its prime factorisation is
- 3
The divisors add up to 7728; without 4412 itself that is 3316, so 4412 is deficient (3316 is less than 4412). Euler's totient φ(4412) = 2204 numbers up to 4412 share no factor with it.
- 4
The digits of 4412 add up to 11, 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
\[ 4412 = 2^{2} \times 1103 \]4412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7728 |
| Euler totient φ(n) | 2204 |
| Square | 19465744 |
| Cube | 85882862528 |
| Square root | 66.422888 (= 2√1103) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.412 × |
4412 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and twelve |
| Binary (base 2) | 1000100111100 |
| Octal (base 8) | 10474 |
| Hexadecimal (base 16) | 113C |
| Base 3 | 20001102 |
| As time | 4412 seconds = 1 h 13 min 32 s |
Is 4412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4412 ÷ 2 = 2206) | 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 (4412 ÷ 4 = 1103) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 4412 a prime number?
No. 4412 = × 1103, so it is divisible by 2.
What are the factors of 4412?
1, 2, 4, 1103, 2206, 4412.
What is 4412 in binary?
1000100111100 (hexadecimal 113C, octal 10474).
What is the square root of 4412?
About 66.4229, exactly 2√1103.
Is 4412 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4412?
It is a composite number with 6 divisors.