Properties of the Number 26456

Twenty-Six Thousand Four Hundred Fifty-Six

Basics

Value: 26455 → 26456 → 26457

Parity: even

Prime: No

Previous Prime: 26449

Next Prime: 26459

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 3307

Divisors: 1, 2, 4, 8, 3307, 6614, 13228, 26456

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011101011000

Octal: 63530

Duodecimal: 13388

Hexadecimal: 6758

Square: 699919936

Square Root: 162.6530048907797

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 ordered trees with n edges and having no protected vertices. A protected vertex in an ordered tree is a vertex at least 2 edges away from its leaf descendants. A143363

Expansion of g.f. A(x) satisfying A(x)² = A( x²/(1-2·x)⁴ ). A375454

a(n) = ∑_{k=0..floor(n/4)} binomial(2·k,k) * binomial(n-2·k-1,n-4·k). A393277

Expansion of (1-x)^-1/(1+x-x²-2·x³). A77901

Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 3 array. A219768

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 785", based on the 5-celled von Neumann neighborhood. A273559

Expansion of 1/(1 - x*∏_k>=1 (1 + x^2·k)/(1 - x^2·k-1)). A302020

Poincaré series [or Poincare series] P(C^o_{3,2}; x). A124633

Expansion of g.f. A(x) satisfying A(x)² = A( x²/(1-2·x)⁴ )/(1-2·x). A375444

a(n) = least positive integer < a(n-1) and not a(i)*a(j)-2 for 1<=i<j<=n. A26456