Properties of the Number 26768

Twenty-Six Thousand Seven Hundred Sixty-Eight

Basics

Value: 26767 → 26768 → 26769

Parity: even

Prime: No

Previous Prime: 26759

Next Prime: 26777

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 7 × 239

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100010010000

Octal: 64220

Duodecimal: 135A8

Hexadecimal: 6890

Square: 716525824

Square Root: 163.60929068974048

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

a(1)=4, a(2)=2, a(n) = 4·a(n-1) + 2·a(n-2). A189741

a(n) = ∑_{k=0..floor(3·n/14)} binomial(3·n-13·k,k). A392351

Composite numbers whose sum of aliquot parts divides the sum of the aliquot parts of the numbers less than or equal to n and not relatively prime to n. A249109

Expansion of e.g.f.: cosh(arcsin(x)*log(x+1)). A12313

a(n) is the largest integer k such that σ(k)/(d(k)*sopf(k)) = n where d=A000005, σ=A000203 and sopf=A008472. A328175

Expansion of e.g.f. sec(arcsinh(x)*arctan(x)) (only even powers). A12632

arcsinh(exp(x)-cos(x))=x+2/2!*x²-12/4!*x⁴-60/5!*x⁵+32/6!*x⁶... A13316

G.f. A(x) satisfies: A(x) = (1 - x·A(x)) * ∑_n>=0 xⁿ / (1 - x·A(x)^2·n+1). A340893

a(n) = ∑_{k=0..floor(n/2)} T(n-k,k), T given by A026758. A26768

T(n,k)=3-level binary fanout graph coloring a rectangular array: number of nXk 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,3 1,4 0,2 2,5 2,6 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223423