Properties of the Number 66197

Sixty-Six Thousand One Hundred Ninety-Seven

Basics

Value: 66196 → 66197 → 66198

Parity: odd

Prime: No

Previous Prime: 66191

Next Prime: 66221

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 53 × 1249

Divisors: 1, 53, 1249, 66197

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000001010010101

Octal: 201225

Duodecimal: 32385

Hexadecimal: 10295

Square: 4382042809

Square Root: 257.2877766237642

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

a(n) = ∑_k=0..n binomial(2·k,k). A6134

The O(1) loop model on the square lattice is defined as follows: At every vertex the loop turns to the left or to the right with equal probability, unless the vertex has been visited before, in which case the loop leaves the vertex via the unused edge. Every vertex is visited twice. The probability that a face of the lattice on an n X infinity cylinder is surrounded by four loops is conjectured to be given by a(n)/A_HT(n)², where A_HT(n) is the number of n X n half turn symmetric alternating sign matrices. A92376

Expansion of x/((1-x)*sqrt(1-4·x²)). A100066

Strong pseudoprimes to base 8. A20234

Number of rational knots of n crossings with signature 0 (chiral pairs counted twice). A78478

Expansion of (1+2x-sqrt(1-4x²))/(2(1-x²)*sqrt(1-4x²)). A174783

Binomial transform of number triangle A105632. A105848

a(n) = a(n-1) + 5·a(n-2) for n >= 2, a(0)=1, a(1)=2. A133407

Antidiagonal sums of A096465. A124642

Riordan matrix (1/((1-x)*sqrt(1-4·x)),x/(1-x)). A187887