The number 4029
4029 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 79. Divisors (8): 1, 3, 17, 51, 79, 237, 1343, 4029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4029 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 4029 itself that is 1731, so 4029 is deficient (1731 is less than 4029). Euler's totient φ(4029) = 2496 numbers up to 4029 share no factor with it.
- 4
The digits of 4029 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4029 = 3 \times 17 \times 79 \]
4029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 2496 |
| Square | 16232841 |
| Cube | 65402116389 |
| Square root | 63.474404 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.029 × |
4029 in other forms
| Form | Value |
|---|---|
| In words | four thousand and twenty-nine |
| Binary (base 2) | 111110111101 |
| Octal (base 8) | 7675 |
| Hexadecimal (base 16) | FBD |
| Base 3 | 12112020 |
| As time | 4029 seconds = 1 h 7 min 9 s |
Is 4029 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 (4029 ÷ 3 = 1343) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4029 a prime number?
No. 4029 = 3 × 17 × 79, so it is divisible by 3.
What are the factors of 4029?
1, 3, 17, 51, 79, 237, 1343, 4029.
What is 4029 in binary?
111110111101 (hexadecimal FBD, octal 7675).
What is the square root of 4029?
About 63.4744.
Is 4029 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4029?
It is a composite number with 8 divisors.