The number 14008
14008 is a composite number with 16 divisors. Its prime factorisation is × 17 × 103. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 103, 136, 206, 412, 824, 1751, 3502, 7004, 14008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14008 is composite. Its prime factorisation is
- 3
The divisors add up to 28080; without 14008 itself that is 14072, so 14008 is abundant (14072 is more than 14008). Euler's totient φ(14008) = 6528 numbers up to 14008 share no factor with it.
- 4
The digits of 14008 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14008 = 2^{3} \times 17 \times 103 \]14008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28080 |
| Euler totient φ(n) | 6528 |
| Square | 196224064 |
| Cube | 2748706688512 |
| Square root | 118.355397 (= 2√3502) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.4008 × |
14008 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and eight |
| Binary (base 2) | 11011010111000 |
| Octal (base 8) | 33270 |
| Hexadecimal (base 16) | 36B8 |
| Base 3 | 201012211 |
| As time | 14008 seconds = 3 h 53 min 28 s |
Is 14008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14008 ÷ 2 = 7004) | 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 | Yes (14008 ÷ 4 = 3502) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | Yes (14008 ÷ 8 = 1751) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14008 a prime number?
No. 14008 = × 17 × 103, so it is divisible by 2.
What are the factors of 14008?
1, 2, 4, 8, 17, 34, 68, 103, 136, 206, 412, 824, 1751, 3502, 7004, 14008.
What is 14008 in binary?
11011010111000 (hexadecimal 36B8, octal 33270).
What is the square root of 14008?
About 118.3554, exactly 2√3502.
Is 14008 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 14008?
It is a composite number with 16 divisors.