Properties of the Number 27286

Twenty-Seven Thousand Two Hundred Eighty-Six

Basics

Value: 27285 → 27286 → 27287

Parity: even

Prime: No

Previous Prime: 27283

Next Prime: 27299

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 1949

Divisors: 1, 2, 7, 14, 1949, 3898, 13643, 27286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010010110

Octal: 65226

Duodecimal: 1395A

Hexadecimal: 6a96

Square: 744525796

Square Root: 165.18474505837395

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

Numbers k such that x^k + x + 1 is irreducible over GF(2). A2475

Number of maximal irredundant sets in the n-path graph. A291055

Number of non-isomorphic 4 X 4 nonnegative integer symmetric matrices with all row and column sums equal to n up to permutations of rows and columns. A333886

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 1", based on the 5-celled von Neumann neighborhood. A269908

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 275", based on the 5-celled von Neumann neighborhood. A271093

Number of partitions of n into parts not of the form 21k, 21k+6 or 21k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 9 are greater than 1. A35984

Numbers k such that 2·3^k + 35 is prime. A59768

a(n) = ∑_k=0..2n (k+1) * A026584(n, k). A27286