Properties of the Number 27362

Twenty-Seven Thousand Three Hundred Sixty-Two

Basics

Value: 27361 → 27362 → 27363

Parity: even

Prime: No

Previous Prime: 27361

Next Prime: 27367

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 13681

Divisors: 1, 2, 13681, 27362

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101011100010

Octal: 65342

Duodecimal: 13A02

Hexadecimal: 6ae2

Square: 748679044

Square Root: 165.41463055002117

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 (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally. A253407

1-sequence of reduction of triangular number sequence by x² -> x+1. A192245

a(0) = 1; thereafter a(n) = 2*(6·n² - 3·n + 1). A386477

Number of (n+1) X (n+1) 0..2 arrays with every 2 X 2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally. A253399

Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally. A253402

Number of Hamiltonian cycles in the directed graph with 2n nodes {0..2n-1} and edges from each i to 2i (mod 2n) and to 2i+1 (mod 2n). A27362

a(n) = 128·n² + 2528·n + 12481. A157436

Triangle read by rows: number of Dyck paths of semilength n with k peaks before the first return (1<= k <n). A101974

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259002