Properties of the Number 27706

Twenty-Seven Thousand Seven Hundred Six

Basics

Value: 27705 → 27706 → 27707

Parity: even

Prime: No

Previous Prime: 27701

Next Prime: 27733

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 1979

Divisors: 1, 2, 7, 14, 1979, 3958, 13853, 27706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000111010

Octal: 66072

Duodecimal: 1404A

Hexadecimal: 6c3a

Square: 767622436

Square Root: 166.45119404798513

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

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,3,4,1 for x=0,1,2,3,4. A196206

Expansion of ∏_k>=2 (1 + x^Fibonacci(k))/(1 - x^Fibonacci(k)). A300414

Number of prime parts in the partitions of n into 10 parts. A309439

n-th prime has odd number of 1's in binary expansion and (n+1)st prime has even number of 1's. A27706

Number of (n+2)X7 binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals. A202432

G.f. satisfies: A(x/A(x)³) = 1 + x·A(x)². A217794