Properties of the Number 13198

Thirteen Thousand One Hundred Ninety-Eight

Basics

Value: 13197 → 13198 → 13199

Parity: even

Prime: No

Previous Prime: 13187

Next Prime: 13217

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 6599

Divisors: 1, 2, 6599, 13198

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001110001110

Octal: 31616

Duodecimal: 777A

Hexadecimal: 338e

Square: 174187204

Square Root: 114.88254871824527

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

Triangle T(n,k) of numbers of distinct shapes under rotation of non-extendable (complete) non-self-adjacent simple paths within a square lattice bounded by rectangles with nodal dimensions n and k, n >= k >= 2. A213249

Numbers k such that k⁵¹² + 1 is prime. A57465

Let a(1)=0. Then a(i+1)=position of first occurrence of a(i) in decimal expansion of log 2. A98289

Numbers whose least quadratic nonresidue (A020649) is 13. A25025

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101. A260475

Expansion of 2*(x-1)*(x+1)/((x²+4·x+1)*(x²-2·x-1)). A111642

Eight bishops and one elephant on a 3 X 3 chessboard. G.f.: (1-3·x²)/(1-3·x+4·x³). A175656

Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^-6. A114358

Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m. A175356

Number of (w,x,y,z) with all terms in {1,...,n} and w·x+y·z>n². A212136