Properties of the Number 89811

Eighty-Nine Thousand Eight Hundred Eleven

Basics

Value: 89810 → 89811 → 89812

Parity: odd

Prime: No

Previous Prime: 89809

Next Prime: 89819

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 587

Divisors: 1, 3, 9, 17, 51, 153, 587, 1761, 5283, 9979

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111011010011

Octal: 257323

Duodecimal: 43B83

Hexadecimal: 15ed3

Square: 8066015721

Square Root: 299.684834451128

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 with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222769

Number of nX7 0..1 arrays with exactly floor(nX7/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222768

Number of 4Xn 0..1 arrays with exactly floor(4Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222772

Expansion of Jacobi θ function (3·theta₄(q¹⁸) - theta₄(q²))/2. A89811