The number 2014
2014 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 53. Divisors (8): 1, 2, 19, 38, 53, 106, 1007, 2014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2014 is composite. Its prime factorisation is
- 3
The divisors add up to 3240; without 2014 itself that is 1226, so 2014 is deficient (1226 is less than 2014). Euler's totient φ(2014) = 936 numbers up to 2014 share no factor with it.
- 4
The digits of 2014 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2014 = 2 \times 19 \times 53 \]
2014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3240 |
| Euler totient φ(n) | 936 |
| Square | 4056196 |
| Cube | 8169178744 |
| Square root | 44.877611 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 2.014 × |
2014 in other forms
| Form | Value |
|---|---|
| In words | two thousand and fourteen |
| Roman numerals | MMXIV |
| Binary (base 2) | 11111011110 |
| Octal (base 8) | 3736 |
| Hexadecimal (base 16) | 7DE |
| Base 3 | 2202121 |
| As time | 2014 seconds = 33 min 34 s |
Is 2014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2014 ÷ 2 = 1007) | 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 4) | 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 5) | 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 7) | 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 1) | 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 2014 a prime number?
No. 2014 = 2 × 19 × 53, so it is divisible by 2.
What are the factors of 2014?
1, 2, 19, 38, 53, 106, 1007, 2014.
What is 2014 in binary?
11111011110 (hexadecimal 7DE, octal 3736).
What is the square root of 2014?
About 44.8776.
What is 2014 in Roman numerals?
MMXIV.
Is 2014 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 2014?
It is a composite number with 8 divisors.