Properties of the Number 27744

Twenty-Seven Thousand Seven Hundred Forty-Four

Basics

Value: 27743 → 27744 → 27745

Parity: even

Prime: No

Previous Prime: 27743

Next Prime: 27749

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 17 ²

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001100000

Octal: 66140

Duodecimal: 14080

Hexadecimal: 6c60

Square: 769729536

Square Root: 166.5653025092561

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

Expansion of 1/((1+x)*(1-x)⁵). A1752

a(n) = n²*(n² - 1)/3. A112742

Numbers k of the earliest occurrence of widths patterns in the symmetric representation of σ listed in the ordering of patterns in A342595. A342596

a(n) = 24·n². A195824

Coordination sequence for D₄ lattice. A7900

a(n) = 4·n*(floor(n²/2)+1). For n >= 3, this is the number of directed Hamiltonian paths on the n-prism graph. A124350

Number of 3-cycles in the n X n black bishop graph. A289161

Number of nondividing sets on {1,2,...,n}. A51014

a(n) = (prime(n)⁴ - prime(n)²)/3. A138419

E.g.f.: exp( ∑_n>=1 x^2·n/A000108(n) ) = ∑_n>=0 a(n)*x^2·n/(2·n)!, where A000108 is the Catalan numbers. A193442