The number 7014
7014 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 167. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7014 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 7014 itself that is 9114, so 7014 is abundant (9114 is more than 7014). Euler's totient φ(7014) = 1992 numbers up to 7014 share no factor with it.
- 4
The digits of 7014 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7014 = 2 \times 3 \times 7 \times 167 \]
7014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 1992 |
| Square | 49196196 |
| Cube | 345062118744 |
| Square root | 83.749627 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.014 × |
7014 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and fourteen |
| Binary (base 2) | 1101101100110 |
| Octal (base 8) | 15546 |
| Hexadecimal (base 16) | 1B66 |
| Base 3 | 100121210 |
| As time | 7014 seconds = 1 h 56 min 54 s |
Is 7014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7014 ÷ 2 = 3507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7014 ÷ 3 = 2338) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7014 ÷ 6 = 1169) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7014 ÷ 7 = 1002) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7014 a prime number?
No. 7014 = 2 × 3 × 7 × 167, so it is divisible by 2.
What are the factors of 7014?
1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014.
What is 7014 in binary?
1101101100110 (hexadecimal 1B66, octal 15546).
What is the square root of 7014?
About 83.7496.
Is 7014 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 7014?
It is a composite number with 16 divisors.