Properties of the Number 26684

Twenty-Six Thousand Six Hundred Eighty-Four

Basics

Value: 26683 → 26684 → 26685

Parity: even

Prime: No

Previous Prime: 26683

Next Prime: 26687

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 953

Divisors: 1, 2, 4, 7, 14, 28, 953, 1906, 3812, 6671

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100000111100

Octal: 64074

Duodecimal: 13538

Hexadecimal: 683c

Square: 712035856

Square Root: 163.3523798418621

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 vertices formed when n equally spaced points are placed around a circle and all pairs of points are joined by an interior arc whose radius equals the circle's radius. A371254

Number of secondary structures of size n having no stacks of length 1. A202840

Number of partitions of n with difference 4 between the number of odd parts and the number of even parts, both counted without multiplicity. A242695

Irregular triangle read by rows: rows are partial alternating sums of rows of A297191. A297193

Number of 5-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187379

Left-hand half of triangle A297193. A297194

Symmetrical form of A039683 using polynomials: p(x,n)=Product[x - (2·i), {i, 0, Floor[n/2]}]/x; t(n,m)=coefficients(p(x,n)+xⁿ*p(1/x,n)); t(n,m)=A039683(n,m)+A039683(n,n-m). A155718

G.f. A(x) satisfies: [xⁿ⁺¹] A(x)ⁿ = n*([x^n-1] A(x)ⁿ) for n>=1. A245310

Number of set partitions of [n] into exactly eight parts such that no part contains two elements with a circular distance less than three. A261484

T(2n,n-2), T given by A026681. A26684