The number 196
196 is a perfect square (14²). Its prime factorisation is × . Divisors (9): 1, 2, 4, 7, 14, 28, 49, 98, 196.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 196: a perfect square (14²).
- 2
196 is composite. Its prime factorisation is
- 3
The divisors add up to 399; without 196 itself that is 203, so 196 is abundant (203 is more than 196). Euler's totient φ(196) = 84 numbers up to 196 share no factor with it.
- 4
The digits of 196 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 196 = 2^{2} \times 7^{2} \]196 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 399 |
| Euler totient φ(n) | 84 |
| Square | 38416 |
| Cube | 7529536 |
| Square root | 14 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.96 × |
| Perfect power |
196 in other forms
| Form | Value |
|---|---|
| In words | one hundred and ninety-six |
| Roman numerals | CXCVI |
| Binary (base 2) | 11000100 |
| Octal (base 8) | 304 |
| Hexadecimal (base 16) | C4 |
| Base 3 | 21021 |
| As time | 196 seconds = 3 min 16 s |
Is 196 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (196 ÷ 2 = 98) | 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 | Yes (196 ÷ 4 = 49) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (196 ÷ 7 = 28) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 196 a prime number?
No. 196 = × , so it is divisible by 2.
What are the factors of 196?
1, 2, 4, 7, 14, 28, 49, 98, 196.
What is 196 in binary?
11000100 (hexadecimal C4, octal 304).
What is the square root of 196?
14, because 14 × 14 = 196.
What is 196 in Roman numerals?
CXCVI.
Is 196 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 196?
196 is a perfect square (14²).