The number 4431
4431 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 211. Divisors (8): 1, 3, 7, 21, 211, 633, 1477, 4431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4431 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4431 is composite. Its prime factorisation is
- 3
The divisors add up to 6784; without 4431 itself that is 2353, so 4431 is deficient (2353 is less than 4431). Euler's totient φ(4431) = 2520 numbers up to 4431 share no factor with it.
- 4
The digits of 4431 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 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4431 = 3 \times 7 \times 211 \]
4431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6784 |
| Euler totient φ(n) | 2520 |
| Square | 19633761 |
| Cube | 86997194991 |
| Square root | 66.565757 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.431 × |
4431 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and thirty-one |
| Binary (base 2) | 1000101001111 |
| Octal (base 8) | 10517 |
| Hexadecimal (base 16) | 114F |
| Base 3 | 20002010 |
| As time | 4431 seconds = 1 h 13 min 51 s |
Is 4431 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4431 ÷ 3 = 1477) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4431 ÷ 7 = 633) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4431 a prime number?
No. 4431 = 3 × 7 × 211, so it is divisible by 3.
What are the factors of 4431?
1, 3, 7, 21, 211, 633, 1477, 4431.
What is 4431 in binary?
1000101001111 (hexadecimal 114F, octal 10517).
What is the square root of 4431?
About 66.5658.
Is 4431 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4431?
It is a composite number with 8 divisors.