The number 14004
14004 is a composite number with 18 divisors. Its prime factorisation is × × 389. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 389, 778, 1167, 1556, 2334, 3501, 4668 … 14004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14004: a Harshad number: divisible by its digit sum 9.
- 2
14004 is composite. Its prime factorisation is
- 3
The divisors add up to 35490; without 14004 itself that is 21486, so 14004 is abundant (21486 is more than 14004). Euler's totient φ(14004) = 4656 numbers up to 14004 share no factor with it.
- 4
The digits of 14004 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14004 = 2^{2} \times 3^{2} \times 389 \]14004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 35490 |
| Euler totient φ(n) | 4656 |
| Square | 196112016 |
| Cube | 2746352672064 |
| Square root | 118.338498 (= 6√389) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.4004 × |
14004 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and four |
| Binary (base 2) | 11011010110100 |
| Octal (base 8) | 33264 |
| Hexadecimal (base 16) | 36B4 |
| Base 3 | 201012200 |
| As time | 14004 seconds = 3 h 53 min 24 s |
Is 14004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14004 ÷ 2 = 7002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14004 ÷ 3 = 4668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14004 ÷ 4 = 3501) | 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 (14004 ÷ 6 = 2334) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14004 ÷ 9 = 1556) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14004 ÷ 12 = 1167) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14004 a prime number?
No. 14004 = × × 389, so it is divisible by 2.
What are the factors of 14004?
1, 2, 3, 4, 6, 9, 12, 18, 36, 389, 778, 1167, 1556, 2334, 3501, 4668, 7002, 14004.
What is 14004 in binary?
11011010110100 (hexadecimal 36B4, octal 33264).
What is the square root of 14004?
About 118.3385, exactly 6√389.
Is 14004 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 14004?
14004 is a Harshad number: divisible by its digit sum 9.