The number 4026
4026 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 61. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4026 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4026 is composite. Its prime factorisation is
- 3
The divisors add up to 8928; without 4026 itself that is 4902, so 4026 is abundant (4902 is more than 4026). Euler's totient φ(4026) = 1200 numbers up to 4026 share no factor with it.
- 4
The digits of 4026 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 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4026 = 2 \times 3 \times 11 \times 61 \]
4026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8928 |
| Euler totient φ(n) | 1200 |
| Square | 16208676 |
| Cube | 65256129576 |
| Square root | 63.450768 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 69 |
| Scientific notation | 4.026 × |
4026 in other forms
| Form | Value |
|---|---|
| In words | four thousand and twenty-six |
| Binary (base 2) | 111110111010 |
| Octal (base 8) | 7672 |
| Hexadecimal (base 16) | FBA |
| Base 3 | 12112010 |
| As time | 4026 seconds = 1 h 7 min 6 s |
Is 4026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4026 ÷ 2 = 2013) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4026 ÷ 3 = 1342) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4026 ÷ 6 = 671) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4026 ÷ 11 = 366) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4026 a prime number?
No. 4026 = 2 × 3 × 11 × 61, so it is divisible by 2.
What are the factors of 4026?
1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026.
What is 4026 in binary?
111110111010 (hexadecimal FBA, octal 7672).
What is the square root of 4026?
About 63.4508.
Is 4026 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4026?
It is a composite number with 16 divisors.