196 (number)

Short description: Natural number

← 195 196 197 →
← 190 191 192 193 194 195 196 197 198 199 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred ninety-six
Ordinal	196th (one hundred ninety-sixth)
Factorization	22 × 72
Divisors	1, 2, 4, 7, 14, 28, 49, 98, 196
Greek numeral	ΡϞϚ´
Roman numeral	CXCVI
Binary	110001002
Ternary	210213
Quaternary	30104
Quinary	12415
Senary	5246
Octal	3048
Duodecimal	14412
Hexadecimal	C416
Vigesimal	9G20
Base 36	5G36

196 (one hundred [and] ninety-six) is the natural number following 195 and preceding 197.

In mathematics

196 is a square number, the square of 14. As the square of a Catalan number, it counts the number of walks of length 8 in the positive quadrant of the integer grid that start and end at the origin, moving diagonally at each step. It is part of a sequence of square numbers beginning 0, 1, 4, 25, 196, ... in which each number is the smallest square that differs from the previous number by a triangular number.

There are 196 one-sided heptominoes, the polyominoes made from 7 squares. Here, one-sided means that asymmetric polyominoes are considered to be distinct from their mirror images.

A Lychrel number is a natural number which cannot form a palindromic number through the iterative process of repeatedly reversing its digits and adding the resulting numbers. 196 is the smallest number conjectured to be a Lychrel number in base 10; the process has been carried out for over a billion iterations without finding a palindrome, but no one has ever proven that it will never produce one.

See also

• 196 (disambiguation)