The number 2214
2214 is a composite number with 16 divisors. Its prime factorisation is 2 × × 41. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2214: a Harshad number: divisible by its digit sum 9.
- 2
2214 is composite. Its prime factorisation is
- 3
The divisors add up to 5040; without 2214 itself that is 2826, so 2214 is abundant (2826 is more than 2214). Euler's totient φ(2214) = 720 numbers up to 2214 share no factor with it.
- 4
The digits of 2214 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2214 = 2 \times 3^{3} \times 41 \]2214 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5040 |
| Euler totient φ(n) | 720 |
| Square | 4901796 |
| Cube | 10852576344 |
| Square root | 47.053161 (= 3√246) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 2.214 × |
2214 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and fourteen |
| Roman numerals | MMCCXIV |
| Binary (base 2) | 100010100110 |
| Octal (base 8) | 4246 |
| Hexadecimal (base 16) | 8A6 |
| Base 3 | 10001000 |
| As time | 2214 seconds = 36 min 54 s |
Is 2214 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2214 ÷ 2 = 1107) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2214 ÷ 3 = 738) | 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 (2214 ÷ 6 = 369) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2214 ÷ 9 = 246) | 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 3) | 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 2214 a prime number?
No. 2214 = 2 × × 41, so it is divisible by 2.
What are the factors of 2214?
1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214.
What is 2214 in binary?
100010100110 (hexadecimal 8A6, octal 4246).
What is the square root of 2214?
About 47.0532, exactly 3√246.
What is 2214 in Roman numerals?
MMCCXIV.
Is 2214 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2214?
2214 is a Harshad number: divisible by its digit sum 9.