The number 4006
4006 is a composite number with 4 divisors. Its prime factorisation is 2 × 2003. Divisors (4): 1, 2, 2003, 4006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4006: a semiprime: 2 × 2003, the product of two primes.
- 2
4006 is composite. Its prime factorisation is
- 3
The divisors add up to 6012; without 4006 itself that is 2006, so 4006 is deficient (2006 is less than 4006). Euler's totient φ(4006) = 2002 numbers up to 4006 share no factor with it.
- 4
The digits of 4006 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4006 = 2 \times 2003 \]
4006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6012 |
| Euler totient φ(n) | 2002 |
| Square | 16048036 |
| Cube | 64288432216 |
| Square root | 63.292970 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 144 |
| Scientific notation | 4.006 × |
4006 in other forms
| Form | Value |
|---|---|
| In words | four thousand and six |
| Binary (base 2) | 111110100110 |
| Octal (base 8) | 7646 |
| Hexadecimal (base 16) | FA6 |
| Base 3 | 12111101 |
| As time | 4006 seconds = 1 h 6 min 46 s |
Is 4006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4006 ÷ 2 = 2003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4006 a prime number?
No. 4006 = 2 × 2003, so it is divisible by 2.
What are the factors of 4006?
1, 2, 2003, 4006.
What is 4006 in binary?
111110100110 (hexadecimal FA6, octal 7646).
What is the square root of 4006?
About 63.2930.
Is 4006 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4006?
4006 is a semiprime: 2 × 2003, the product of two primes.