Properties of the Number 27794

Twenty-Seven Thousand Seven Hundred Ninety-Four

Basics

Value: 27793 → 27794 → 27795

Parity: even

Prime: No

Previous Prime: 27793

Next Prime: 27799

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 13 × 1069

Divisors: 1, 2, 13, 26, 1069, 2138, 13897, 27794

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010010010

Octal: 66222

Duodecimal: 14102

Hexadecimal: 6c92

Square: 772506436

Square Root: 166.715326230074

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

Triangle read by rows: T(n,k) is the number of simple connected graphs on n unlabeled nodes having chromatic number k, 1 <= k <= n. A84269

Triangle read by rows: T(n,k) (n>=2, k=2..n) gives number of connected graphs on n nodes with chromatic number n-k+1. A126736

Number of chiral pairs of color patterns (set partitions) in a cycle of length n using 3 or fewer colors (subsets). A320743

G.f. satisfies A(x) = exp( ∑_k>=1 A(x^k) * x^k/(k * (1 - x^k)³) ). A363548

Number of connected graphs on n nodes with chromatic number 5. A126739

Tropical version of the degree-6 recurrence x(n+6)*x(n) = (x(n+5)*x(n+1))² + x(n+4)²*x(n+3)⁴*x(n+2)². A220839

Number of integer partitions of n whose Durfee square has sides of even size. A274523

a(n) = 12*(n+1)*binomial(n+3,9). A27794