The number 4432
4432 is a composite number with 10 divisors. Its prime factorisation is × 277. Divisors (10): 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4432 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4432 is composite. Its prime factorisation is
- 3
The divisors add up to 8618; without 4432 itself that is 4186, so 4432 is deficient (4186 is less than 4432). Euler's totient φ(4432) = 2208 numbers up to 4432 share no factor with it.
- 4
The digits of 4432 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4432 = 2^{4} \times 277 \]4432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 8618 |
| Euler totient φ(n) | 2208 |
| Square | 19642624 |
| Cube | 87056109568 |
| Square root | 66.573268 (= 4√277) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 20 |
| Scientific notation | 4.432 × |
4432 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and thirty-two |
| Binary (base 2) | 1000101010000 |
| Octal (base 8) | 10520 |
| Hexadecimal (base 16) | 1150 |
| Base 3 | 20002011 |
| As time | 4432 seconds = 1 h 13 min 52 s |
Is 4432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4432 ÷ 2 = 2216) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4432 ÷ 4 = 1108) | 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 4) | 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 | Yes (4432 ÷ 8 = 554) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4432 a prime number?
No. 4432 = × 277, so it is divisible by 2.
What are the factors of 4432?
1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432.
What is 4432 in binary?
1000101010000 (hexadecimal 1150, octal 10520).
What is the square root of 4432?
About 66.5733, exactly 4√277.
Is 4432 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4432?
It is a composite number with 10 divisors.