The number 20004
20004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1667. Divisors (12): 1, 2, 3, 4, 6, 12, 1667, 3334, 5001, 6668, 10002, 20004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20004: a Harshad number: divisible by its digit sum 6.
- 2
20004 is composite. Its prime factorisation is
- 3
The divisors add up to 46704; without 20004 itself that is 26700, so 20004 is abundant (26700 is more than 20004). Euler's totient φ(20004) = 6664 numbers up to 20004 share no factor with it.
- 4
The digits of 20004 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20004 = 2^{2} \times 3 \times 1667 \]20004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 46704 |
| Euler totient φ(n) | 6664 |
| Square | 400160016 |
| Cube | 8004800960064 |
| Square root | 141.435498 (= 2√5001) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 2.0004 × |
20004 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and four |
| Binary (base 2) | 100111000100100 |
| Octal (base 8) | 47044 |
| Hexadecimal (base 16) | 4E24 |
| Base 3 | 1000102220 |
| As time | 20004 seconds = 5 h 33 min 24 s |
Is 20004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20004 ÷ 2 = 10002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20004 ÷ 3 = 6668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20004 ÷ 4 = 5001) | 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 | Yes (20004 ÷ 6 = 3334) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 4) | 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 | Yes (20004 ÷ 12 = 1667) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20004 a prime number?
No. 20004 = × 3 × 1667, so it is divisible by 2.
What are the factors of 20004?
1, 2, 3, 4, 6, 12, 1667, 3334, 5001, 6668, 10002, 20004.
What is 20004 in binary?
100111000100100 (hexadecimal 4E24, octal 47044).
What is the square root of 20004?
About 141.4355, exactly 2√5001.
Is 20004 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 20004?
20004 is a Harshad number: divisible by its digit sum 6.