The number 3014
3014 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 137. Divisors (8): 1, 2, 11, 22, 137, 274, 1507, 3014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3014 is composite. Its prime factorisation is
- 3
The divisors add up to 4968; without 3014 itself that is 1954, so 3014 is deficient (1954 is less than 3014). Euler's totient φ(3014) = 1360 numbers up to 3014 share no factor with it.
- 4
The digits of 3014 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3014 = 2 \times 11 \times 137 \]
3014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4968 |
| Euler totient φ(n) | 1360 |
| Square | 9084196 |
| Cube | 27379766744 |
| Square root | 54.899909 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.014 × |
3014 in other forms
| Form | Value |
|---|---|
| In words | three thousand and fourteen |
| Roman numerals | MMMXIV |
| Binary (base 2) | 101111000110 |
| Octal (base 8) | 5706 |
| Hexadecimal (base 16) | BC6 |
| Base 3 | 11010122 |
| As time | 3014 seconds = 50 min 14 s |
Is 3014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3014 ÷ 2 = 1507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (3014 ÷ 11 = 274) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3014 a prime number?
No. 3014 = 2 × 11 × 137, so it is divisible by 2.
What are the factors of 3014?
1, 2, 11, 22, 137, 274, 1507, 3014.
What is 3014 in binary?
101111000110 (hexadecimal BC6, octal 5706).
What is the square root of 3014?
About 54.8999.
What is 3014 in Roman numerals?
MMMXIV.
Is 3014 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 3014?
It is a composite number with 8 divisors.