Properties of the Number 26748

Twenty-Six Thousand Seven Hundred Forty-Eight

Basics

Value: 26747 → 26748 → 26749

Parity: even

Prime: No

Previous Prime: 26737

Next Prime: 26759

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 743

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100001111100

Octal: 64174

Duodecimal: 13590

Hexadecimal: 687c

Square: 715455504

Square Root: 163.5481580452681

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

G.f.: ∑_n>=0 xⁿ * (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹. A324300

3rd power of rooted tree enumerator; number of linear forests of 3 rooted trees. A242

McKay-Thompson series of class 9b for the Monster group. A112146

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(1/(1-x)^k - 1). A294046

G.f.: ∑_n>=0 xⁿ * (1 - xⁿ⁺¹)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323695

G.f. satisfies: a(2·n) equals coefficient of xⁿ in A(x)ⁿ⁺¹ and a(2·n+1) equals coefficient of xⁿ⁺¹ in A(x)ⁿ⁺¹, for n>=0, with a(0)=1. A94600

G.f.: (1 - x/(1 - x²/(1 - x³/(1 - x⁴/(1 - ...))))) / (1 + x/(1 + x²/(1 + x³/(1 + x⁴/(1 + ...))))), a continued fraction. A285635

G.f. A(x,y) satisfies: A(x,y) = x + A( x² + x·y*A(x,y)², y). A271868

The Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the Z. S. Irani reference. A224465

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, -1), (0, 1, -1), (0, 1, 0), (1, 0, 1)}. A150222