Properties of the Number 27801

Twenty-Seven Thousand Eight Hundred One

Basics

Value: 27800 → 27801 → 27802

Parity: odd

Prime: No

Previous Prime: 27799

Next Prime: 27803

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3089

Divisors: 1, 3, 9, 3089, 9267, 27801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010011001

Octal: 66231

Duodecimal: 14109

Hexadecimal: 6c99

Square: 772895601

Square Root: 166.73631877908304

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

Convergent of rows in triangle A091499, in which A091499(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-1). A91500

Number of nX3 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. A301879

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. A301884

Sorting by prefix reversal (or "flipping pancakes"). You can only reverse segments that include the initial term of the current permutation; a(n) is the number of reversals that are needed to transform an arbitrary permutation of n letters to the identity permutation. A58986

Triangle read by rows, such that T(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-1). A91499

a(n) = 5*(n+1)*binomial(n+4,5)/2. A27801

Number of nX4 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal. A207231

Odd numbers k such that λ(k) < φ(k) and gcd(λ(k), k-1) = gcd(φ(k), k-1). A284406