Properties of the Number 196

One Hundred Ninety-Six

Basics

Value: 195 → 196 → 197

Parity: even

Prime: No

Previous Prime: 193

Next Prime: 197

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 ²

Divisors: 1, 2, 4, 7, 14, 28, 49, 98, 196

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100

Octal: 304

Duodecimal: 144

Hexadecimal: c4

Square: 38416

Square Root: 14

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n²/4). A2620

Abundant numbers (sum of divisors of m exceeds 2m). A5101

Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle. A1263

a(n) = prime(n) - 1. A6093

Triangle of coefficients of polynomials u(n,x) jointly generated with A029653; see the Formula section. A208510

Partial sums of (Catalan numbers starting 1, 2, 5, ...). A14138

Triangle read by rows: T(n,k), n >= 1, k >= 1, in which column k lists k copies of the positive squares in nondecreasing order, and the first element of column k is in row k(k+1)/2. A236104

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