Properties of the Number 16786

Sixteen Thousand Seven Hundred Eighty-Six

Basics

Value: 16785 → 16786 → 16787

Parity: even

Prime: No

Previous Prime: 16763

Next Prime: 16787

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 11 × 109

Divisors: 1, 2, 7, 11, 14, 22, 77, 109, 154, 218

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110010010

Octal: 40622

Duodecimal: 986A

Hexadecimal: 4192

Square: 281769796

Square Root: 129.56079653969405

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 partitions of n whose mean is a part. A237984

A246604 (Catalan(n)-n) with initial terms 1,0,0,2,10 changed to 1,1,1,2,11. A289616

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7. A252157

a(n) = Catalan(n) - n. A246604

A246604 (Catalan(n)-n) with initial terms 1,0,0,2 changed to 1,1,1,3. A289615

Coefficient of·in the reduction by (x²->x+1) of the polynomial p(n,x) given in Comments. A192877

Expansion of ((sqrt(2)-1)*(-sqrt(2);x)_inf - (sqrt(2)+1)*(sqrt(2);x)_inf)/2, where (a;q)_inf is the q-Pochhammer symbol. A278296

Numbers that are the sum of an emirp and its reversal in more than one way. A345408

Number of ways to place 2 queens on an n X n chessboard so that they attack each other. A144945

Number of compositions of n whose Lyndon factorization is uniform. A329397