Properties of the Number 27762

Twenty-Seven Thousand Seven Hundred Sixty-Two

Basics

Value: 27761 → 27762 → 27763

Parity: even

Prime: No

Previous Prime: 27751

Next Prime: 27763

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 661

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 661, 1322

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110110001110010

Octal: 66162

Duodecimal: 14096

Hexadecimal: 6c72

Square: 770728644

Square Root: 166.61932661009047

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

T(n,k)=Number of nXk 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal. A206987

Eight bishops and one elephant on a 3 X 3 chessboard. G.f.: (1-3·x²)/(1-3·x+4·x³). A175656

Number of 2-sided strip polypons with n cells. A151533

Fifth diagonal (m=4) of triangle A084938; a(n) = A084938(n+4,n) = (n⁴ + 18·n³ + 131·n² + 426·n)/24. A90386

Number of nX5 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal. A206984

Number of nX6 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal. A206985

Partial sums of hyperfactorials (A002109). A264889

Denominator of ∑_{p prime, p-1 divides 2·n} 1/p. A27762

Number of ways to place 8 nonattacking kings on an n X n board. A201369