Properties of the Number 6796

Six Thousand Seven Hundred Ninety-Six

Basics

Value: 6795 → 6796 → 6797

Parity: even

Prime: No

Previous Prime: 6793

Next Prime: 6803

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 1699

Divisors: 1, 2, 4, 1699, 3398, 6796

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010001100

Octal: 15214

Duodecimal: 3B24

Hexadecimal: 1a8c

Square: 46185616

Square Root: 82.4378553820998

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

G.f.: ∑_{k >= 1} x^k/(1-x^k)^k+1. A81543

Expansion of ∏_k>=1 1/(1 - x^k)^sigma₃(k). A288391

T(n,k)=Number of nXk 0..3 arrays with rows nondecreasing and antidiagonals unimodal. A224024

EULER transform of A001511. A92119

G.f. A(x) satisfies: [xⁿ] A(x)^n²+n+1 = 0 for n>1. A230218

Number of ON cells at n-th stage in simple 2-dimensional cellular automaton (see Comments lines for definition). A256534

Row 3 in rectangular array A292929. A294066

Number of fullerenes with 2n vertices (or carbon atoms), counting enantiomorphic pairs as distinct. A57210

Square array read by antidiagonals: number of ways a black pawn (starting at any square on the second rank) can (theoretically) end at various squares on an infinite chessboard. A62104

G.f.: A(x) = ∏_n>=1 1/(1 - 4ⁿ*xⁿ)^4/4ⁿ; self-convolution of A110156. A110154