The number 214
214 is a composite number with 4 divisors. Its prime factorisation is 2 × 107. Divisors (4): 1, 2, 107, 214.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 214: a semiprime: 2 × 107, the product of two primes.
- 2
214 is composite. Its prime factorisation is
- 3
The divisors add up to 324; without 214 itself that is 110, so 214 is deficient (110 is less than 214). Euler's totient φ(214) = 106 numbers up to 214 share no factor with it.
- 4
The digits of 214 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 214 = 2 \times 107 \]
214 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 324 |
| Euler totient φ(n) | 106 |
| Square | 45796 |
| Cube | 9800344 |
| Square root | 14.628739 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 101 |
| Scientific notation | 2.14 × |
214 in other forms
| Form | Value |
|---|---|
| In words | two hundred and fourteen |
| Roman numerals | CCXIV |
| Binary (base 2) | 11010110 |
| Octal (base 8) | 326 |
| Hexadecimal (base 16) | D6 |
| Base 3 | 21221 |
| As time | 214 seconds = 3 min 34 s |
Is 214 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (214 ÷ 2 = 107) | 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 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 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 5) | 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 214 a prime number?
No. 214 = 2 × 107, so it is divisible by 2.
What are the factors of 214?
1, 2, 107, 214.
What is 214 in binary?
11010110 (hexadecimal D6, octal 326).
What is the square root of 214?
About 14.6287.
What is 214 in Roman numerals?
CCXIV.
Is 214 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 214?
214 is a semiprime: 2 × 107, the product of two primes.