Properties of the Number 85294

Eighty-Five Thousand Two Hundred Ninety-Four

Basics

Value: 85293 → 85294 → 85295

Parity: even

Prime: No

Previous Prime: 85259

Next Prime: 85297

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 11 × 3877

Divisors: 1, 2, 11, 22, 3877, 7754, 42647, 85294

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110100101110

Octal: 246456

Duodecimal: 4143A

Hexadecimal: 14d2e

Square: 7275066436

Square Root: 292.0513653452077

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

G.f. A(x,y) satisfies: ∑_n=-oo...+oo (xⁿ + y)ⁿ = exp( (1-y) * A(x,y) ) / (1-y), where A(x,y) = ∑_n>=1 xⁿ/n·Sum{k=0..n-1} T(n,k)*y^k, written here as a flattened triangle of coefficients T(n,k) read by rows. A321600

Integer ceiling of coefficients of exp(x·A(x)). A85294

Number of (1+2)X(n+2) 0..3 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order. A252918