Properties of the Number 13347

Thirteen Thousand Three Hundred Forty-Seven

Basics

Value: 13346 → 13347 → 13348

Parity: odd

Prime: No

Previous Prime: 13339

Next Prime: 13367

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1483

Divisors: 1, 3, 9, 1483, 4449, 13347

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000100011

Octal: 32043

Duodecimal: 7883

Hexadecimal: 3423

Square: 178142409

Square Root: 115.52921708381824

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

Number of integers in n-th generation of tree T(1/2) defined in Comments. A274142

T(n,k)=Number of nXk 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing. A223918

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A185504

a(n) = ∑_{k=0..floor(n/3)} binomial(2·n-5·k,n-3·k). A360152

Coefficients of the power series expansion at p=1 of the time constant C(-2,p) for last passage percolation on the complete directed acyclic graph, where the edges' weights are equal to 1 or -2 with respective probabilities p and 1-p. A373090

Expansion of ∏_k>=1 (1 + A001055(k)*x^k). A66816

a(n) = (n+3)³ - n³. A38865

Expansion of (1-x)/(1+x²+x³). A78032

Number of (n+1)X2 0..2 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A185498

Number of nX5 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing. A223915