Number reference
196 explained.
196: one hundred ninety-six, composite, perfect square; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- one hundred ninety-six
- Classification
- composite
- Factors
- 1, 2, 4, 7, 14, 28, 49, 98, 196
- Prime factorization
- 2 × 2 × 7 × 7
- Square root
- 14
- Cube root
- 5.808786
- Binary
- 11000100
- Octal
- 304
- Hexadecimal
- C4
- Roman numeral
- CXCVI
- Digit sum
- 16
- Digital root
- 7
What makes 196 notable
- Perfect square. 196 = 14², so a square of side 14 has an area of 196.
196 in everyday use
One hundred ninety-six is fourteen squared and the most famous number in the reverse-and-add puzzle. Take a number, reverse its digits, add the two, and repeat: 56 becomes 121 in one step, and most numbers reach a palindrome within a few. 196 has never done so. Computers have run the process for billions of digits without finding a palindrome, yet nobody has proved one will never appear. Numbers with this suspected behaviour are called Lychrel numbers, and 196 is the smallest candidate.
Set that puzzle aside and 196 is a plain square, 2² × 7², with nine divisors: 1, 2, 4, 7, 14, 28, 49, 98, and 196. It is the sum of the first fourteen odd numbers, as every square is, and 196 balls arrange into a 14 by 14 square. Its digit sum is 16, also a square, and the number is 11000100 in binary. It is often quoted as a count of the world's countries, a figure reached by adding Vatican City, Palestine, and Taiwan to the 193 United Nations members.
Nearby numbers
How to read this page
The factor list shows every way 196 splits into equal whole-number groups — 9 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 196 for contexts that do not use decimal.
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