Properties of the Number 26811

Twenty-Six Thousand Eight Hundred Eleven

Basics

Value: 26810 → 26811 → 26812

Parity: odd

Prime: No

Previous Prime: 26801

Next Prime: 26813

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 331

Divisors: 1, 3, 9, 27, 81, 331, 993, 2979, 8937, 26811

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100010111011

Octal: 64273

Duodecimal: 13623

Hexadecimal: 68bb

Square: 718829721

Square Root: 163.74064858794227

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

Sum of quadratic residues of (n-th prime == 3 mod 4). A282035

a(n) = n! mod 3ⁿ. A212309

G.f. A(x) satisfies both A(-x)*A(x) = A(x²) and xA(x)² = B(xA(x²)) where B(x) = x*(1+x)/(1-x). A91188

Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic residues mod p. A282723

a(n) is the number of triangles (up to congruence) with integer coordinates that have perimeter strictly less than n. A298121

Number of incongruent n-sided Reinhardt polygons. A374832

Numbers k that divide the (right) concatenation of all numbers <= k written in base 3 (most significant digit on left). A29448

Numbers k such that k² = x³ + y⁴ with positive integers x, y. A87209

Triangular sequence produced from symmetrical power of two matrices of the general type: M={{1, 2, 4, 8}, {2, 1, 2, 4}, {4, 2, 1, 2}, {8, 4, 2, 1}}. A129964

O.g.f.: exp( ∑_n>=1 A067692(n)*xⁿ/n ), where A067692(n) = [σ(n)² + σ(n,2)]/2. A180608