Properties of the Number 19185

Nineteen Thousand One Hundred Eighty-Five

Basics

Value: 19184 → 19185 → 19186

Parity: odd

Prime: No

Previous Prime: 19183

Next Prime: 19207

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 1279

Divisors: 1, 3, 5, 15, 1279, 3837, 6395, 19185

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101011110001

Octal: 45361

Duodecimal: B129

Hexadecimal: 4af1

Square: 368064225

Square Root: 138.50992744204294

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 T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape U; triangle T(n,k), n>=0, read by rows. A247708

Number of tilings of a 5 X n rectangle using n pentominoes of any but the U shape. A247772

Number of (n+2)X(3+2) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231222

Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316301

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316303

Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (n-k)*T(n-1,k-1) + 2*(k+1)*T(n-1,k) + A102365(n,k) with T(n,k) = 0 if k < 0 or k > n. A382629

Triangle read by rows: T(n,k) = ∑_i=n-k..n C(k-1,n-i)*C(i,n-k)*C(2·i,i)/(i+1). A256640

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231227

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316304

Number of n X 4 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 5 binary array having determinant equal to one. A227749