The number 4311
4311 is a composite number with 6 divisors. Its prime factorisation is × 479. Divisors (6): 1, 3, 9, 479, 1437, 4311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4311: a Harshad number: divisible by its digit sum 9.
- 2
4311 is composite. Its prime factorisation is
- 3
The divisors add up to 6240; without 4311 itself that is 1929, so 4311 is deficient (1929 is less than 4311). Euler's totient φ(4311) = 2868 numbers up to 4311 share no factor with it.
- 4
The digits of 4311 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4311 = 3^{2} \times 479 \]4311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6240 |
| Euler totient φ(n) | 2868 |
| Square | 18584721 |
| Cube | 80118732231 |
| Square root | 65.658206 (= 3√479) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 170 |
| Scientific notation | 4.311 × |
4311 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and eleven |
| Binary (base 2) | 1000011010111 |
| Octal (base 8) | 10327 |
| Hexadecimal (base 16) | 10D7 |
| Base 3 | 12220200 |
| As time | 4311 seconds = 1 h 11 min 51 s |
Is 4311 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 (4311 ÷ 3 = 1437) | 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 | No (remainder 6) | 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 | Yes (4311 ÷ 9 = 479) | 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 10) | 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 4311 a prime number?
No. 4311 = × 479, so it is divisible by 3.
What are the factors of 4311?
1, 3, 9, 479, 1437, 4311.
What is 4311 in binary?
1000011010111 (hexadecimal 10D7, octal 10327).
What is the square root of 4311?
About 65.6582, exactly 3√479.
Is 4311 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4311?
4311 is a Harshad number: divisible by its digit sum 9.