Properties of the Number 26864

Twenty-Six Thousand Eight Hundred Sixty-Four

Basics

Value: 26863 → 26864 → 26865

Parity: even

Prime: No

Previous Prime: 26863

Next Prime: 26879

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 23 × 73

Divisors: 1, 2, 4, 8, 16, 23, 46, 73, 92, 146

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100011110000

Octal: 64360

Duodecimal: 13668

Hexadecimal: 68f0

Square: 721674496

Square Root: 163.90240998838303

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

Euler transform of A051064, the ruler function sequence for k=3. A173241

Number of unlabeled rooted trees with n vertices such that every branch of the root has a different number of nodes. A298539

Let A(n) = floor((3/2)ⁿ), B(n)=3ⁿ-2ⁿ*A(n); then a(n)=2ⁿ-A(n)-B(n)-2. A174420

Numbers k such that A173557(k) = A173557(k+1). A333874

Number of labeled n-vertex graphs without 2-components and without isolated vertices (1-components). A93377

Number of n X 4 0..1 arrays with rows and columns lexicographically nondecreasing read forwards, and nonincreasing read backwards. A201371

Multiplicity of highest weight (or singular) vectors associated with character chi₇ of Monster module. A34395

a(n) = ∑_i=1..n binomial(i+1,2)⁷. A85442

E.g.f. A = A(x,y) satisfies: A² + B² + C² = 1 + y² and A³ + B³ + C³ = 1 + y³, where functions B = B(x,y) and C = C(x,y) are described by A278886 and A278887, respectively. A278885

E.g.f. B = B(x,y) satisfies: A² + B² + C² = 1 + y² and A³ + B³ + C³ = 1 + y³, where functions A = A(x,y) and C = C(x,y) are described by A278885 and A278887, respectively. A278886