The number 14001
14001 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 359. Divisors (8): 1, 3, 13, 39, 359, 1077, 4667, 14001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14001 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 14001 itself that is 6159, so 14001 is deficient (6159 is less than 14001). Euler's totient φ(14001) = 8592 numbers up to 14001 share no factor with it.
- 4
The digits of 14001 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14001 = 3 \times 13 \times 359 \]
14001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 8592 |
| Square | 196028001 |
| Cube | 2744588042001 |
| Square root | 118.325821 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.4001 × |
14001 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and one |
| Binary (base 2) | 11011010110001 |
| Octal (base 8) | 33261 |
| Hexadecimal (base 16) | 36B1 |
| Base 3 | 201012120 |
| As time | 14001 seconds = 3 h 53 min 21 s |
Is 14001 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14001 ÷ 3 = 4667) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14001 a prime number?
No. 14001 = 3 × 13 × 359, so it is divisible by 3.
What are the factors of 14001?
1, 3, 13, 39, 359, 1077, 4667, 14001.
What is 14001 in binary?
11011010110001 (hexadecimal 36B1, octal 33261).
What is the square root of 14001?
About 118.3258.
Is 14001 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 14001?
It is a composite number with 8 divisors.