The number 14002
14002 is a composite number with 4 divisors. Its prime factorisation is 2 × 7001. Divisors (4): 1, 2, 7001, 14002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14002: a semiprime: 2 × 7001, the product of two primes.
- 2
14002 is composite. Its prime factorisation is
- 3
The divisors add up to 21006; without 14002 itself that is 7004, so 14002 is deficient (7004 is less than 14002). Euler's totient φ(14002) = 7000 numbers up to 14002 share no factor with it.
- 4
The digits of 14002 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14002 = 2 \times 7001 \]
14002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 21006 |
| Euler totient φ(n) | 7000 |
| Square | 196056004 |
| Cube | 2745176168008 |
| Square root | 118.330047 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.4002 × |
14002 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and two |
| Binary (base 2) | 11011010110010 |
| Octal (base 8) | 33262 |
| Hexadecimal (base 16) | 36B2 |
| Base 3 | 201012121 |
| As time | 14002 seconds = 3 h 53 min 22 s |
Is 14002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14002 ÷ 2 = 7001) | 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 14002 a prime number?
No. 14002 = 2 × 7001, so it is divisible by 2.
What are the factors of 14002?
1, 2, 7001, 14002.
What is 14002 in binary?
11011010110010 (hexadecimal 36B2, octal 33262).
What is the square root of 14002?
About 118.3300.
Is 14002 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 14002?
14002 is a semiprime: 2 × 7001, the product of two primes.