The number 4034
4034 is a composite number with 4 divisors. Its prime factorisation is 2 × 2017. Divisors (4): 1, 2, 2017, 4034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4034: a semiprime: 2 × 2017, the product of two primes.
- 2
4034 is composite. Its prime factorisation is
- 3
The divisors add up to 6054; without 4034 itself that is 2020, so 4034 is deficient (2020 is less than 4034). Euler's totient φ(4034) = 2016 numbers up to 4034 share no factor with it.
- 4
The digits of 4034 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 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4034 = 2 \times 2017 \]
4034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6054 |
| Euler totient φ(n) | 2016 |
| Square | 16273156 |
| Cube | 65645911304 |
| Square root | 63.513778 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 69 |
| Scientific notation | 4.034 × |
4034 in other forms
| Form | Value |
|---|---|
| In words | four thousand and thirty-four |
| Binary (base 2) | 111111000010 |
| Octal (base 8) | 7702 |
| Hexadecimal (base 16) | FC2 |
| Base 3 | 12112102 |
| As time | 4034 seconds = 1 h 7 min 14 s |
Is 4034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4034 ÷ 2 = 2017) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4034 a prime number?
No. 4034 = 2 × 2017, so it is divisible by 2.
What are the factors of 4034?
1, 2, 2017, 4034.
What is 4034 in binary?
111111000010 (hexadecimal FC2, octal 7702).
What is the square root of 4034?
About 63.5138.
Is 4034 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4034?
4034 is a semiprime: 2 × 2017, the product of two primes.