The number 4043
4043 is a composite number with 4 divisors. Its prime factorisation is 13 × 311. Divisors (4): 1, 13, 311, 4043.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4043: a semiprime: 13 × 311, the product of two primes.
- 2
4043 is composite. Its prime factorisation is
- 3
The divisors add up to 4368; without 4043 itself that is 325, so 4043 is deficient (325 is less than 4043). Euler's totient φ(4043) = 3720 numbers up to 4043 share no factor with it.
- 4
The digits of 4043 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 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4043 = 13 \times 311 \]
4043 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4368 |
| Euler totient φ(n) | 3720 |
| Square | 16345849 |
| Cube | 66086267507 |
| Square root | 63.584589 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 25 |
| Scientific notation | 4.043 × |
4043 in other forms
| Form | Value |
|---|---|
| In words | four thousand and forty-three |
| Binary (base 2) | 111111001011 |
| Octal (base 8) | 7713 |
| Hexadecimal (base 16) | FCB |
| Base 3 | 12112202 |
| As time | 4043 seconds = 1 h 7 min 23 s |
Is 4043 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 | No (remainder 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4043 a prime number?
No. 4043 = 13 × 311, so it is divisible by 13.
What are the factors of 4043?
1, 13, 311, 4043.
What is 4043 in binary?
111111001011 (hexadecimal FCB, octal 7713).
What is the square root of 4043?
About 63.5846.
Is 4043 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4043?
4043 is a semiprime: 13 × 311, the product of two primes.